My experiences line up a lot with what folks have described here, and yes I really do like it way more in Civ6, relative to how air units basically became glorified towers in Civ5. Pretty much agree with what Dearmad said earlier
Given that the biplane line can fly on the map forever, it sounds like I can actually field a very large air force; even if the only Aerodrome in my empire has a capacity of 4, I can have 20 biplanes flying around and chasing enemy units. This is awesome
On the other hand, (re)deploying a plane does have some constraints; it's not the same as regular movement, and it looks like planes can't fly into fog of war, since green tiles don't show up there. Additionally, I don't think air units are part of the unit cycle; clicking next unit doesn't seem to go to any deployed air units and you need to go find them yourself.
No, I think rebasing an air unit sill has a limited range. I certainly don't recall being able to rebase a biplane to an Aerodrome on the other side of the world.