Genny and YM2612VSTI are the same tool from different points in production. It had a name change. Made by Super Joe Bob.
VOPM is actually emulating the YM2151 chip, and NOT the 2612. Two of the operator orders are reversed in that one. So some sounds that you import on that won't sound exactly the same as on YM2612. But most will.
Now the problem could be that the TFI import does not record ALL the settings of a complete YM2612 preset.
I can analyze the vgm data in the Genskmod debugger, and see if there's some data we're missing from the past you're trying to use.
FM Drive will give you the most hardware accurate sound, but only if your preset has the complete settings data, which TFI may not. So there may indeed be missing LFO, SSG-EG, vibrato, or other envelope related parameters you're missing.