I didn't say I trust myself.
So, it is a good thing 1) I am highly educated and credentialed in my field, 2)I trust myself, and 3) I can produce my own research.
Hm... I must have misread that. I could swear you did say "I trust myself".
I answered your question. Just because it works doesn't make it the unique solution. Uniqueness is extremely important in determining an accurate solution or model to fundamental problems. That Gravity works doesn't make it the unique solution; hitting old TVs worked, but it wasn't the way to correct the problem (although, it was close considering the extra energy would be able to realign the current flow).
I would say that every specific solution for a problem is "unique". And I am really surprised that you as a mathematician would compare hitting a TV with mathematical systems.
Perhaps this is a communication problem. I have already said it: I never went that far into mathematics as you say you do, and it is quite difficult to express specific technical concepts in a foreign language when you are not intimately involved with the topic. But I do have a certain understanding of mathematics, and of English.
So when I say that something in mathematics "works", I do not mean that it
might provide a solution to a problem, but that it fundamentally
will.
An example from my days at university. In one lesson, we had to solve a certain problem. A fellow student presented his work in front of the course, went through all steps and came to his solution. The result was correct.
But the teacher asked him: you used this and that value in this step... how did you arrive at these values?
The students answer was surprising: "By experimentation. This is a set excercise for class, so it was reasonable to assume that this had to be a natural value not bigger than X. I tried a few values, and found that mine fit."
This "worked"... in this case. I would even say it is a "unique" solution.

But of course, it wouldn't "work" generally.
But, because we were all there to learn, the teacher guided us to a method that "worked" in a general case.
The spherical model is such a "general solution". It works in all relevant cases, to explain the observed data.
If we assume that your specific model does the same... there is still the question why you chose yours over the standard model.
I choose my own theory because I have the background to vindicate it myself.
In what way? What advantages does your model have over the standard model.
This doesn't in any way touch the question whether your model is correct or consistent. But in order to prefer it to another, it has to have an advantage.
What is that?