I'd say this is a bit akin to whether people can feel the weather in their bones - biometeorology. The only difference is that the airplane creates a temporary, highly artificial "weather" environment. But I think it's important to include the physical interactions between that environment and the one outside of it, and not only account for interior conditions like air pressure, etc.
We'll probably learn a lot more about this if we ever make it far enough as a civilization to have a shot at long distance space travel, i.e. to Mars.