He flew the Pine Tree flag at both properties. You should look into this a little further yourself. I'm not prepared to spend any more time telling you what you should already know if you want to argue for Alito.
I have looked again at multiple articles about it, but have not found any, even those
criticizing him, saying the Pine Tree Flag in both locations. They all say the upside-down flag was at one location and the Pine Tree Flag was at another. It is certainly possible that there was at some point the Pine Tree Flag at the location where the upside-down flag was flown (his wife apparently
is big into flags and thus could have flown it), but if so I can't find articles saying it.
However, even if what you were trying to say was that the Pine Tree Flag was flown at both locations, that isn't what you said, or at least how someone would interpret your message. Here's what you said, with some bolding added by me:
Well, if they had also flown the US flag upside down as Alito also did then I'd be suspicious. But Alito said his wife flew it because of an argument with a neighbour, not because of any connection to revolutionary patriotism. Now why that would need to be done because of a dispute wasn't at all clear. But what was clear was that he flew the same flag at a beach house he also owns he owns.
You mention the upside down flag, and that Alito said his wife flew it (the upside-down flag) because of an argument with a neighbor. Good so far; this is accurate. Then you, without referring to
any other flag in the meantime, say "he flew the same flag" at the beach house. Given no indication you are talking about a different flag, the natural interpretation is you are referring to the same flag you just did, and that you were saying that he flew the upside-down flag at both locations, which is not the case and is not what your article said.
You then went on to say (in a part of the post I didn't quote because it wasn't important at the time, but becomes relevant now):
Hey, maybe the neighbour at the one property also bought an adjoining house at the second property. And maybe Alito wasn't aware that it's now being used By Jan 6 supporters. And maybe we can blame his wife for it. And perhaps he can't tell up from down when hoisting his nation's flag. And maybe if you try really hard then you can excuse all this. But then I have an offer on a nice bridge in which you might be interested.
This only reinforces the interpretation I took of your post! The
upside-down flag was flown because of the dispute. But your sarcastic claim wondering about whether they had a dispute with the neighbors at the other location only makes sense if they flew the upside-down flag at the other location, because that was the flag that was flown due to the dispute. Even if the Pine Tree Flag was at both locations, then your argument doesn't matter because the Pine Tree Flag had nothing to do with any neighbor dispute to begin with as far as I am aware.
Maybe you just phrased thing poorly. That by itself is fine (everyone phrases things poorly sometimes) but don't get upset with me for misunderstanding your point when I think just about anyone would logically assume based on your wording that you were asserting the upside-down flag was flown at both locations, unless there was some important context I was missing.