Just for completeness you definitely can see acceleration errors in run of the mill civil aircraft, I've seen it more than once and by coincidence this comment has just come up in another thread - remember if you're turning, you're accelerating.
....an inherent limitation of gyro technology...VG errors may be caused by shallow turns//..in effect the VG aligns itself with bank angles of less than six degrees but lags due to the slowness of the erection circuit