There's no broader political win to this bill. This is something that some large donors, who likely play both parties, would want. Those kinds of bills usually sail through with bipartisan support.
If you want the list of companies who shadow wrote it, there is somewhere a video recording of Tilis/Coons press conference with IBM and Qualcomm taking the microphone. I can try to find the recording back.
The OP/EFF says it's a Senate committee that's about to vote on "The Patent Eligibility Restoration Act (PERA), S. 2140."
I don't know tons about the government, but you linked a House bill that looks like it's still in a House committee, and I don't think a Senate committee would be talking about something like that.
https://www.congress.gov/bill/118th-congress/senate-bill/214...
Looks pretty dead. Only 1 cosponsor and no action taken in a year.