Well, it really looks like you're simplifying the reasoning behind these sorts of statements so that everything turns into a semantical game. It's not like the argument from motion says that because motion exists, God is always in motion too. Quite the opposite, really!
If I remember Aquinas correctly--which I should, since I only just started studying him--God as intellect is something that gets established in the Fifth Way, and he is specifically looking at immanent teleology and the fact that things seem to be ordered towards specific purposes, something that we associate with reasoning beings. Therefore, there must be a force behind this which is also intellectual. Though that is a simplification too.
Most arguments get "semantical" at one point, especially when you try to talk about something that you haven't and cannot have an experience about.
But that is not my point. I thought I had made that clear before, but it seems I haven't.
This "force behind it", what is it? How is it? I may have come to a slightly different result than Neoplatonism, by a slightly different way, but the gist of it is about the same.
We cannot say. We because we haven't any knowledge, any experience about it and cannot have. Because it is "too big/high/great" for us to even comprehend. Because it is so strange, so different, to all that we can and do talk about it.
We simply cannot say.
We can talk about it in analogies and methphors... but ultimately we always have to add the qualifier "... or not."
So we can talk about our world, our knowledge and our reasonings about "things that are or seem to be ordered and seem to have been ordered for a purpose"... but that doesn't allow us in any way to say something about the "force behind it".
All the learned arguments about the existence or natural of "God" are limited by this. They are all based - more or less - on our understanding of this our existence. Without it, they might or might not apply.
We cannot say.
This looks like backwards reasoning and word games to me. Let us define a universe as a structure, and then say that all universes must by definition be intelligible, thereby sidestepping the question of why this thing called "structure" exists at all.
Unrelated questions. Regardless of how we define "universe", we can (roughly) define "structure" and use it for our understanding. So it wouldn't matter for the question of "why does this exist" to limit it on a certain set.
And the question "why does 'structure' exist at all?"... are you asking for a cause or a reason? Because I don't think there has to be a reason.
For a cause, again, would it matter? Structures can exist "by accident" or "by intent". So you cannot conclude from the existence of "structure" to a specific cause.
Skeptical about what, precisely? All that says to me is that we're grasping at concepts that are beyond our ability to conceptualize, which is something I'm quite convinced of anyway! But it also tells me that we're driven to grasp anyway, which I find pretty interesting as well.
Skeptical whether the target of the leap is real. Or even true. Or if it just doesn't matter.
We can debate all year long about the "existence" of this mystical, unspeakable "something" that is the cause / mover / ground / whatever... but ultimately it doesn't matter to what result we get. We are here, and that's all that we know.
Do you believe that this "something" is "intellect"? That's a leap of faith. But it doesn't matter. Is it "greenness"? Doesn't matter. Is it "how the heck should I know when it is unspeakable!"? Doesn't matter either.
But "this something created us with a specific goal in His mind and He will get extremely angry and punish you with eternal damnation if you don't do exactly what I tell you, so I have the right to force you to do what I tell you, because I love you which is the greatest commandment that this something told me personally via a relationship with His incarnation/son/persona. So either accept that I am right or burn in Hell you stupid heathen!"
This leap of faith
does matter for a lot of us.
Hahaha, well, these days I think atheists are more likely to be accused of mislabeling.
Yes, and we also are amoral, immoral, perverted, love to sin and eat babies for breakfast. (I could never get behind the last part... I like my babies for dinner. I am a failure of an atheist.)
Being right is easy when all you have to do is to call those who disagree with you wrong.
LOL! Low bar, you've got there!
I am a content person.
Well... to be fair, Trinitarian theology does not state that the distinctions between God in three Persons are made by the observer. That's actually Sabellianism, one of the more common heterodox approaches.
Trinitarian theology states a lot of things that do not make sense. Try to get a trinitarian to explain the trinity - you will either get a short statement that doesn't make sense, or a doctoral thesis spanning five books... that doesn't make sense.
But that was about distinctions.
Let's go any analyse some stuff then. Here we are, observe and experiment, and make the distinction into the aggregate phases. It can be solid, liquid, gaseous... These are "true" distinctions. They tell us something about what we observe.
But if we now try to take these distinctions as definers of what we object, we will see that they are not enough.
So we observe. This one here is solid. We heat it up. This one here is gaseous. "Ice" you say. And "steam" you say. "Wrong", I say. This gets gaseous at 2868 K. It isn't ice. It's copper.
Another observation: This one here is liquid, that one is also liquid. There is no distinction. Unless you try to have a nice drink of mercury on a hot day.
Oh, about having a nice drink! Here is this island of Puerto Rico, where people are in need of water in liquid form. There is water in its liquid form. Problem solved, until we make another distinction. The water
there is on Europa, the moon of Jupiter.
My point of all that: there are numbers of distinctions that can be made. There are also numbers of identities that can be made. But it is us who make them, and decide which ones are relevant for us.
I am somewhat confused, though. Do you believe that science tells us something objectively true about the world, or do you see it as merely a reflection of the distinctions we make? There are certainly some scientific categories, like what does and doesn't count as the same species, that reflect our need to categorize instead of real divisions in the natural world, but going after chemistry seems more radical.
In the way the question is asked: short answer - no.
But of course there is a long answer.

I don't believe in "objective truth". As I see it, "truth" is a statement about something. The underlying existence is "real" or "reality". "Truth" is something that more or less correctly reflects "reality". So it can never be 100%. And because a statement needs to be made by "someone", it can never be objective.
But I think that science can give us "true" answers about "reality", within the limits set by its methods.