Joking aside, we know for sure what was the common view about public nudity during TNG? Obviously it was being broadcast on a network and so they couldn't show people completely naked in the corridors of the Enterprise, but in theory, would there be some problem?
As far as I know, no. In-universe wise, people walking nude in the halls wouldn't be an issue.
Roddenberry essentially said that people in the 24th century would have been like 'new humans' concept he proposed for the late 23rd century (and its likely that this movement increased to become part of society as a whole).
Nudity would have been widely accepted and not a big deal, along with numerous other things.
Think of it like this: there are tribes across the world today who are completely nude and both men and women do not fixate on body parts, instead they look each other in the eyes.... essentially, it comes down to a matter of adjusting to seeing people nude. After a short while, it's not a big deal anymore (especially in UFP whose cultures are supposed to be highly progressive and open minded).
The reason why you don't see nudity though to such a degree is because the show is made in the 21st century on a network and in country that doesn't think such material should be shown on TV for the given audience (which is arguably a bit silly when you think of the things kids and people at large are exposed to on a daily basis - murder, violence, etc.- in present system, people are exceptionally hypocritical without even realizing it).
Thankfully, I think in various parts of the world, the perception on nudity is changing for the better... and this is arguably a good thing... because it would also result in a lot of hangups people have of their own bodies (thanks to the beauty industry) to evaporate in the process.... and if you think about it... a lot of it has roots in money.
Without those hangups, there would essentially be nothing to monetize (or at least far less)... and if you apply a similar view to everything else...
(YMMV of course.)
