First question I have for you OP is what are you chasing as far as consistency? Are you trying to get sub 1/2 MOA at 50 yards for benchrest competition, do you just need 1-1/2 MOA every time you bring it out without zero shift, or are you looking for something else?
If you are chasing precision for the benchrest games, then yes the $1500+ guns will make this much easier, though I've seen less expensive examples do well, but not consistently across the board.
Many of the $1500 guns will shoot with velocity extreme spreads on the order of one ft/s when well tuned. However, that is not the whole story on airgun accuracy, or consistency from session to session.
FX guns tend to be a bit delicate. Changes in point of impact can be due to significant temperature changes, to bumping the barrel shroud. Sighting in at the beginning of any session is essential especially with FX guns. That said, I really like mine.
The electronic controlled Daystates, seem to be on a whole different level as far as tuning, and velocity consistency. Plus, they do quite well in competition. I just find them not too aesthetically pleasing.
American Air Arms unveiled a rather robust airgun at the Extreme Benchrest match this past October. It is a rife which is heavy, but likely could withstand a low crawl through heavy brush without losing zero. It is designed for benchrest and NRL 22 competition which is why it is heavy.
One other thing, due to advances in technology, even more budget friendly airguns will outshoot older examples of the same guns.
Depending on what you want your airgun to do, I can make other suggestions which might be a bit more budget friendly, but still meet your expectations.