"bisect". Bisect becomes useless if not every commit compiles (or local equivalent). Bisect is a critical feature, even if I don't necessarily use it often, because when I need it, I need it.
As long as I can bisect, I don't much care about the details. But this is definitely not compatible with three dozen commits mostly consisting of "oops didn't compile" and "forgot comma" and "fix syntax erorr". You've gotta do something about that.
The way some people talk, the only acceptable history is an asciinema [1] recording of the development process with a microphone recording the developer's mutterings as it goes. The question isn't about what information you "lose" but about what you keep, because you must discard the vast bulk of it. We're arguing here about whether we chuck 99.97% or 99.99% of it.