I’m glad that the synchronism — akkiyawa as Achaeans, a scattering of Homeric names — has begun to gain ground. Michael Wood’s “Search for the Trojan War” helped revive that I think, now it is generally accepted, as there were no counter arguments other than, ‘because I say so’ from some overrated overpaid gov’t hacks in the UK. It’s the age of those letters which has not been established, other than via the conventional pseudochronology, iow, the letters themselves haven’t been scientifically dated. A few years ago there was a published attack on the validity of thermoluminescence, and I suspect that will prove to be the opening salvo against another method which consistently undermines the pseudochronology.
I loved Wood’s program and book and seem to recall that the letters were dated by the stratum at which they were found and the general date of the Hittite Empire is fairly well established as well. So the date around 1200 seems to be about right.