Actually, there's quite a dispute about the pronunciation of (Classical) Latin, especially concerning c and ae sounds. Too bad we can't ask anyone. 
It might be even worse in Ancient Greek. Apparently, the pronunciation rules are nearly all conjectures and it's very likely that today's scholars pronounce it wrong and would be ridiculed by Ancient Greeks.
Not to mention the dominance of the 'Latin' pronunciation/stressing of Greek names which is often different from the Greek way. In some cases the Greek way makes you look like an idiot, because the 'Latine' way is the accepted one.

It might be even worse in Ancient Greek. Apparently, the pronunciation rules are nearly all conjectures and it's very likely that today's scholars pronounce it wrong and would be ridiculed by Ancient Greeks.

Not to mention the dominance of the 'Latin' pronunciation/stressing of Greek names which is often different from the Greek way. In some cases the Greek way makes you look like an idiot, because the 'Latine' way is the accepted one.