Odysseus' return from Trojan War dated

Seems that two scientists, Magnasco from NY and Baikouzis from the Uni. of Buenos Aires (name seems greek) have made calculations, based on the astronomical data and eclipses mention in the Odyssey and have come to the conclusion that Odysseus return home on April 16, 1178 B.C. More info here:

Well, there's no evidence that the parian stele is correct. Archaeological evidence from Troy that the time of its destruction coincides with the date these scientists present.

Achaeans buried their dead, so they should find his body by now.

I thought the Myceneans tended to burn their dead, while the dorians to bury them in box shaped graves.
I'm not really an expert on this, but I know that in the archaeological museum of Athens  (remember Athens was also not a dorian city) there are plenty of  burial stones. Unless something eludes me (and these graves actually contained urns), classical greeks buried their dead.
On the other hand, I'm not expert on Myceneans either (which means I'm possibly wrong), but in the Iliad we pretty clearly see that the dead (Patroklos comes to me mind) were burned. Of course we also have the tombs-like-hills in Mycenenae, and I'm now confused...

Moreover, I think that even in the classical period and Roman period, some legionaries and Roman colonies based in the east, as well as the eastern Greeks such as the Lycians and "pseudo-hittites" such as the Lydians and Cimmeranians buried their dead with elaborate rituals. It really is very confusing. Notable examples include the royal necropolis of Sidon and Roman mummies in Ptolemaic Egypt, whilst Romans only a few centuries before (such as the father of Tiberius Sempronius Gracchus) burnt their dead. We know that even in the principate this occured, because as Vorian states, writers speak about what they know - Virgil describes the battles in books 10-12 of the Aeneid between the Etruscans, Pallentines and Trojans with the Rutilians and Latins with Roman military tactics and equipment. Moreover, he also describes funeral pyres rather than mounds for the dead. However, there appears to be a crossover in Homer's illiad because I recall that at the funeral of Patroculus, they burn his body and then seal the bones in a casket inside a death-mound. It seems to be half and half from that perspective. It's also similar in the Aeneid - when they find the body of Misenus in book 6, they simply pile earth over him so that the Sibyl can let Aeneas go into the underworld and speak to his father in the Elysian fields, but also when Aeneas finds the dead body of Polydores in book 3 in Thrace (the whole bloody bush thingy if anyone remembers that), they do the exact opposite - they just burn everything. It seems that both burning and burial could have been part of the same ritual.