I agree with the OP that the published pages look a little bare to me because they don’t have the top or side navigation, as, for example, the /tos page has.
I just created a published page and it looks empty with no way for people to click to search or access the sidebar, etc.
Ok, through my best sleuthing, I think I’ve found where they differ.
I think the Published Pages use this layout:
And the About/TOS/FAQ/Privacy (static pages) use the normal application layout:
And I believe the layout for Published Pages is being set here:
And I think the static pages have this:
Now, since it’s in Ruby, I would assume it would need a custom plugin to change this but I’m not sure. I’m also not sure if just changing that line for the published pages to the one from the static pages would work or something else would need to be tweaked.
Anyways, it seems upon first glance that it probably wouldn’t be that hard to tweak the layout of the Published Pages to look more like the static pages.