I don't think ST's want to be titled physio's, it's not the same thing.... they just want to have their qualification recognised to the same level and to be under HPC regulation.
Physio's have knowledge in areas that ST's don't and do not pretend to. However, that is reversed too, if someone is suffering is sporting injury, than an ST has studied that area in a lot more depth and is proably more suitable than a physio.
I understand that physio's wouldn't want ST recognised, I'm sure they want to keep the sports world to themselves... doesn't mean that's right though!