Well I'm not saying it's going to be a USS Stargazer show or anything. However if you look at the first two seasons of Discovery, non-Discovery sets were pretty basic compared to some other shows like the Expanse, likely to save money (the Expanse was also extremely expensive, which is what's gotten it canceled twice). The only sets that were elaborate were Discovery (which was redressed into the bridges of a few ships), the Klingon Bridge, and the Section-31 ship. Even the corridors of the Discoprise were just redecorated Discovery corridors. In Seasons 3 and 4, they added their virtual stage (like the Mandalorian pioneered) to generally great effect for the show, but sets have generally been pretty simple including it. We see a room with a pillar or a table most often. Cheap for production.
But then we get this lavish new set and conference room and corridor? For just a few episodes of Picard since we're now headed to an alternate universe than back to 2024? Yeah not a chance. They may redress into another early 25th century ship, but they're going to use this again and again to get their money's worth.
The other *potential* alternative, and this might be nearly as good, is they did what they should have done from the start and constructed a "miscellaneous bridge" that can be the bridge of any starship, of any race with a redress. The TMP Enterprise bridge famously served this role during the TNG-Voyager era, where it was redressed into dozens of different ship bridges. Of course, having that was because TNG benefited enormously from having many sets and props ready to go from the cancellation of Phase 2 and the production of the TOS movies. Discovery / Picard had none of that, and I do think visually suffered for it (Riker on the Discovery bridge in Season 1 was just a eye sore).
So we'll see. I think though now that we're in 5 full years of production of Streaming Trek, the warehouse of sets and props (both physical and digital) for CBS to use is starting to build up again, like it did during the TNG era.