Yeah, I've watched much of the remastered TNG version. The sets aren't shoddy AFAICT. There is one famous scene in the pilot episode where a patch of carpet under Data's seat is plainly visible, but that was because the frame size is larger: in the TV days, TV sets had a rounded-off picture and that part wasn't visible. The people filming back then never thought that their film would be scanned in 4K and the full frame would be visible to viewers.

The biggest problem visible on the TNG sets is the black cardboard pieces on the consoles in the rear of the bridge, used to block reflections from the lights. Those weren't visible after conversion to NTSC, but in HD they're noticeable. I'm not a director, but I wouldn't call this a problem with a shoddy set, but rather too many assumptions made at the time about how the video would be viewed. Surely, if they were filming a theatrical movie at the time instead of a TV show, they would have simply filmed it a different way, or rigged the lighting differently to avoid this problem.

You are right. I meant 'shoddy' in the sense that they just needed to look good on NTSC, so they were built with that in mind.

That doesn't just meant that smaller details weren't important, so they were left out. But also that if something in your set needs to fulfill a role in the story, you better make that thing big enough to be legible on an NTSC screen, instead of something more subtle.