I don't think Republican congresscritters are suddenly growing a spine or developing a conscience -- I think they're concerned about the midterms.
The vast, vast majority of voters want the Epstein files fully released and the perpetrators punished. Any congressman whose voting record shows that they're against this happening is going to have a difficult time in the midterm elections. So they're scrambling to do some performative nonsense to show that they're on the 'right side' of this. But nothing of actual substance will come of it if they can help it.
However, this might still be an exploitable opportunity. They really don't want their name next to a recorded 'no' vote on anything that would force release of the files. So Dems need to be pushing hard to hold votes on these topics and soon, before the midterms. Because after the midterms, I bet a lot of these Republicans are going to go right back to their obstructionist ways.