When I played around with Barry Thornton's 2-Bath (BTTB), chasing exactly the advantages cited by the OP (highlight compensation, increased acutance, better film speed), I found myself disappointed. Some of the negatives came out looking fine. Most came out a fair bit grainier than I prefer, particularly in 35mm where that really matters to me. Many of them suffered from uneven development due to the minimal agitation recommended. None of them showed even a hint of improved acutance to my eye.
Barry Thornton himself eventually moved on from BTTB and settled on a pyro-based developer he worked up himself calle DiXactol, and a few variants thereof. When I concluded that BTTB wasn't my cup of tea, I had the advantage of internet access and numerous recipes (and rave reviews) for pyro-based developers. After some research, Pyrocat HD seemed like the one to go with. I mixed up a batch and tried it on FP4+ in 120 and absolutely loved it right away. It does a tremendous job of compensating in highlights and giving excellent shadow separation and acutance that I think really make the final prints stand out compared to developers I've used in the past for the format (primarily Rodinal and HC-110), and it does so with somewhat less grain (and less harsh/unpleasant character to the grain IMO) than Rodinal.
At the time of writing this comment, I've standardized on 3 films across 3 formats, and each one has a preferred developer or two that I've arrived at after a lot of experimenting and testing. BTTB just doesn't fit in here, and none of the purported advantages of other 2-bath developers are compelling enough to make me experiment with them at this time. Maybe that will change. I go through phases of enthusiastically trying out new stuff in the darkroom just for the enjoyment of tinkering. But right now I'm very much in a "try to get better at art" phase, and frankly that is probably the more fruitful way to elevate my results
Barry Thornton himself eventually moved on from BTTB and settled on a pyro-based developer he worked up himself calle DiXactol, and a few variants thereof. When I concluded that BTTB wasn't my cup of tea, I had the advantage of internet access and numerous recipes (and rave reviews) for pyro-based developers. After some research, Pyrocat HD seemed like the one to go with. I mixed up a batch and tried it on FP4+ in 120 and absolutely loved it right away. It does a tremendous job of compensating in highlights and giving excellent shadow separation and acutance that I think really make the final prints stand out compared to developers I've used in the past for the format (primarily Rodinal and HC-110), and it does so with somewhat less grain (and less harsh/unpleasant character to the grain IMO) than Rodinal.
At the time of writing this comment, I've standardized on 3 films across 3 formats, and each one has a preferred developer or two that I've arrived at after a lot of experimenting and testing. BTTB just doesn't fit in here, and none of the purported advantages of other 2-bath developers are compelling enough to make me experiment with them at this time. Maybe that will change. I go through phases of enthusiastically trying out new stuff in the darkroom just for the enjoyment of tinkering. But right now I'm very much in a "try to get better at art" phase, and frankly that is probably the more fruitful way to elevate my results

Film | 35mm Preferred Developer | 120 Preferred Developer | 4x5 Preferred Developer |
Delta 100 | Instant Mytol | Instant Mytol or Pyrocat HD(C) | N/A (I don't use Delta 100 in LF) |
FP4+ | Instant Mytol | Pyrocat HD(C) | Rodinal or Pyrocat HD(C) |
HP5+ | Instant Mytol | Instant Mytol or Pyrocat HD(C) | HC-110 or Pyrocat HD(C) |