OK. I'm dropping the GR thing. Otherwise, next I'll have to introduce tensor algebra and four dimensional spacetime etc. etc. and that's definitely a bridge way, way, too far.
My apologies for taking this path. Please forget I wrote anything. I'd delete my past postings if I could.
If we're going to talk about "fictitious" forces and their ilk- then how about the Rindler Horizon and vacuum fluctuations ("Casimir effect"), or the Mach Principle/Hypothesis, as potential explanations for the existence of inertia. Best not to go there...