This is an intuition check. Maybe I'm starting to get it, or maybe I'm not.
I apologize ahead for my potential ignorance and naivety, but I've been trying to curve the space in my head around special and general relativity, and I'm just a layman with poor comprehension of Einstein's equations.
When I read about how Einstein pondered on the way a force apparently acts upon a falling object, without the object "feeling" any force during its fall, leading him to the idea that spacetime got curved, it made me think about inertial reference frames in a way I haven't thought about them before.
In my (potentially wrong) mind, it seems like people around the globe should sit in a variety of inertial reference frames due to being drawn towards the Earth's centre of mass between them all.
If so, is it sort of correctly intuited that when Alice - who had always lived halfway around the globe from Bob - one day magically teleported herself halfway around the globe into a stable upright stance on the ground next to Bob, it turned out that she had always aged minuscully slower than Bob, because Bob's and Alice's frames were initially different, but then Alice altered her frame by Earth's gravity × 2 to join Bob's inertial reference frame?
Edit: Alice and Bob are at the exact same height. From the first answer, it appears that my intuition is completely wrong. If GR is a generalization of SR, I would have thought that an SR scenario could be described in GR. If GR doesn't have a link between relative motion and gravity/acceleration, then I don't understand how it is a generalization.
To be as clear as I know how to: I thought that the force acting upon Alice and Bob at the same height gave them inertial reference frames that were opposite to each other seen from the POV of the Earth's centre of mass.
I can understand the difference between being accelerated and being at rest while technically moving relative to someone else, but I thought I had to see a link between GR and SR, and I just can't without resorting to this confused and mad misapplication of inertial reference frames.
In conclusion, I suppose I may need to study Einstein's equations before I can hope to develop an accurate intuition.