Then why does GR make more accurate predictions?
So there is no global "right" or "wrong", just different measures of usefulness depending the problem constraints.
GR is always more accurate, but the increased accuracy is not always needed; at low speeds relative to the speed of light the difference is often too small to matter in practical terms.
You are wrong, so there is.
When measuring signal (ie radio, light, gravity) from slow speed perspectives, newtonian physics is not as accurate - https://futurism.com/newtonian-physics-vs-special-realtivity - Eg we actually need to account for it between gps sattelites and we do so from the perspective of GR as well as the recent evidence of gravity propogation being restricted to localization (ie roughly the speed of light)
No, because "less accurate but in practical terms the difference can often be ignored" is not the same as "the same accuracy".