> You can always measure when you are in a gravitational field (or being accelerated). For that reason, it wouldn't be correct to say you don't feel any force from gravity.

When astronauts do low-G training in the vomit comet they are definitely in a gravitational field and (in your words) are "being accelerated". But they feel no force of gravity.

Or as a similar thought experiment: imagine that I am in a spaceship with no windows traveling at a constant speed far from any large mass. If the spaceship started to approach a large planet, would I feel a force of gravity pulling me in toward the planet stronger and stronger as I approached it? My understanding of relativity is no: since I am in an inertial reference frame it makes no difference to me.