Turbo Everdrive. Rename the .HES file to .PCE, load it and play.
That was one of the first things I tried and it has never worked. From what little info I've found online, it sounds like the different firmware revisions are only to support slightly different physical components.
I just went though a bunch of .hes files which don't have working sound roms and even tried some that do and still none of them worked... until I
finally found a couple that did. One of which sounds like it's missing random sound channels compared to what it sounds like in Mednafen.
Maybe the Turbo Everdrive is finicky like the Tototek card, which sometimes won't play particular roms unless they're the only one on the card?
I'm still not comfortable recording .hes soundtracks off of the TE until I can do more tests to rule out the missing instruments/sound channels.