Tim Anderson had 1,372 minor league at bats.
Yoan Moncada, while definitely rushed by the Red Sox, and probably brought up half a season too early by the White Sox, had 1,020 minor league bats.
Luis Robert has 345 minor league at bats. If he plays the rest of the season in minors and the first month next season (and stays healthy), he'll still be well behind TA and Yoan.