OnlyMe
You do have a problem of not understanding the huge range of available observations that have confirmed everything Relativity says about the Universe. Just how is it that having directly observed 99% of the speed range as "a relatively local observation"? And the Earth's gravitational field is far from our only observation of gravity wells. Flinging spacecraft around Jupiter is a bit further up that scale. As far as light goes, those observations are solid and exhaustive, the extrapolation not going far out on a limb at all. And once you have multiple neutron star systems to observe you're getting damn close to seeing Black Hole level gravity effects, don't you think? That scale is not as evidenced as the speed scale is, but it too is solid observational confirmation. So no, these are not "far beyond any currently possible direct observation/experience." Just beyond your knowledge of currently possible direct observational evidence. Like I said, you give scant credit for current evidence confirming these things. Scientists know that only one of the predictions of the ramifications of Relativity is left without direct confirmation, Gravity Waves. And we already have indirect evidence of those in the CMB. As well as a relatively nearby triple neutron star system with a double/single configuration and close orbits. (In Cosmology we have the neatest instruments, we don't even have to build them). This system seems designed to provide direct evidence of gravity waves, three extremely accurate clocks attached to huge masses in rapid close in orbits(all three would fit within the Earth's orbit with room to spare). Relativity is confirmed to the point that it is perverse to withhold provisional acceptance(Gould's definition of a fact). So I do not think your point is worth the emphasis you put on it. I am not extrapolating beyond reason. The things we are telling you are confirmed to the ability of man to confirm anything. And we are on the verge of confirming the last prediction of Relativity today.
Grumpy
Grumpy, most of what you offer above is not observed directly.
Take particles moving at 0.99% c. Not once is a single particle's speed measured start to finish.., and even when a group average is calculated it is not measured directly.
Space craft orbiting and or using a slig-shot maneuver around another planet, or even the earth, again is not direct observation of the gravitational field of the involved planet. The gravitational field, is predicted by both Newton's and Einstein's field equations.., and is indirectly confirmed by watching the affect on the space craft as it orbits or passed by...
There is a similar situation involved in both the neutron star case and gravity waves, they are both indirect observations. We don't watch neutron stars orbit each other in real time, we observe EM spectrum data associated with the system and interpret it based on theoretical assumptions...
This goes on and on...
Is how we interpret what we know of these things consistent with GR..? Yes!
Is it proof that any one conceptualization of GR's theoretical model, is the one and only reality? No!
Yes, GR is a successful theoretical model. Personally I don't believe it will ever be discarded, though it may at some point become a part of some greater understanding, just as Newtonian dynamics, became a weak field approximation of GR.
The issue is not whether GR is valid or even accurate, it is about how the theoretical basis of GR is conceptually applied as a description of reality. Again, it is my position that GR accurately describes the dynamics associated with gravitation, but it does not describe the mechanism.