Lots of opinions to the contrary if you google the subject.
The dating of the Trojan War is indeed usually given as circa 1200 BC (or a little earlier, sometimes as far back as 1300 BC), and I’m not going to argue that the 1200 BC date isn’t out there — it’s just that it is dead wrong.
As an aside, I find it particularly odd that a siege that, 140 years ago, was practically universally held to be a fiction, has a fixed date. :’) Bravo for Heinrich Schliemann.