Inhofe is just doing what his constituents want. Omni Air International is based in Tulsa,OK and most certainly has lobbied Inhofe and Coburn (both Republicans) to amend the NPRM.
I don't believe this will pass; FAA and industry advocates have been proposing changes to duty/flight-time and rest for too long, and they're not going to exempt charter/supplemental carriers. They're the ones that need the reductions the most!