You don't have enough information to make an informed decision. The only info you have is questionable.
No, then Destroy moves slightly ahead by virtue of being clear cut rather than strange and unknown.
Why it allows for Destroy is a question no matter how you look at the ending. If the solution won't work anymore and we need a new solution because the problem is still present, then why would it allow itself and the Reapers to be Destroyed? Reapers are manipulators so the idea that if one is true, the others must also be true is incorrect. However, we have no reason to trust any of them. However, it clearly wants Synthesis which is a big "stay away" in my book.
I would say they were both cars. You didn't redesign or remake the one. You broke it. Either way, this is just semantics.
You don't have enough information to make the call about Destroy either. You have no idea what it would actually do. Frankly the only choice you have that you have any valid amount of information about is the Refuse option. All others are based on assumptions or that the AI is telling the truth. Since you claim the AI isn't telling the truth. Then if you still choose destroy then you are using the same uninformed decision you claim is being used for Synthesis.
I do believe the term for someone who calls someone out on not have enough information to make an informed decision. Then makes a choice without enough information to make an informed decision is a hypocrite.
Synthesis is rather clear cut. It is only strange and unknown because you want it to be strange and unknown. You create all these head cannon ideas to vilify it without any actual information to back it up. Yet you use the same head cannon set up to glorify and push your ideal ending is the best.
If the Reapers are manipulators then why would they manipulate you into destroying them? Or giving them complete control over them? The logic you use doesn't add up in the slightest. No matter how much you want 2+2 = 8 that isn't how it works. You also again overly simplify the actions of the AI and Reapers. Which is rather funny to me. Because it shows a desperate attempt to push your own ideology rather then the real one. Much like how US schools tend to gloss over a lot of things that happened in the Revolutionary War. To push the ideology of America is great look at how we threw off the shackles of oppression. Requiring you to either be a history buff and look up information yourself or take a class in College to get the real picture of what happened. Which really alters the picture of what happened.
But lets put this another way...
Fact 1 Shepard was going to die regardless of AI's interaction
Fact 2 The Reapers were capable of defeating and harvesting the Cycle regardless of Shepard's choice
Fact 3 Because the Reapers could defeat and harvest the galaxy there was no reason for the AI to even interact with Shep.
Fact 4 Both Control and Destroy do exactly as AI said would happen
So why would the AI even give Shep the choice? Why would it tell the truth about Destroy and Control but some how make a massive lie up about Synthesis? How do you know the Crusible would effect effect Reapers only?
The only information you have is a Prothean VI who admits it was never even tested and sheer optimism from current cycle races. How is that an informed choice when for all you know it could avoid all Reapers and hit only non Reapers. Making it even easier to finish everyone off?
You call it semantics but it is rather important when talking about genetic diversity.