Fitech are garbage systems. I've heard so many horror stories on different C10 and T/A forums. Way more bad stories than good. If you really want to EFI Swap look into Aces or a Holley. The newer Holley systems fixed a lot of the problems you hear about their EFI Setups.
But to answer your question about the transmission. Regardless of Company all of them offer some sort of electronic transmission module.
I also wouldn't say its easier to tune for boost. Both systems has it pros and cons. You're going to need a laptop to tune on either system so I dont know why you'd want to complicate it with a EFI Carb System when LS already have an EFI system