Flying and gravity inside a habitat

Okay, I got a question...

Say you're inside a rotating space habitat and you take a jaunt in
your microlight aircraft. Once you're actually in the air, and did
some maneuvering, if you cut power...would you fall?

There isn't really any gravity inside your rotating habitat, after
all. The rotation of the habitat that creates a simulation of
gravity. But if you're not touching the outer surface, why would the
rotation affect you? (Yes, air rushing by you would affect you, but
probably not in exact the same way as real gravity.) In fact, would
you even feel the "gravity" if you were in the air?

So...what would happen and why? And what related complications (or
benefits) are going to result from the fact that the "gravity" inside
a rotating habitat isn't really gravity?

Thanks.

Mark