At the 2022 Grand Slams, players were more likely to hit a backhand return than a forehand return. In fact, backhand returns outnumbered forehands by 10%.
In the Deuce court the returner hits a similar number of Forehand to Backhand returns. But on the Ad side, there are considerably more BH returns.
This is due to pure court geometry – it is easier to run around a BH return and hit a FH in the deuce court than it is from the Ad court. In the Ad court, the returner will hit 3 backhand returns for every 2 forehands.
Overall, an equal percentage of return winners are hit from the FH vs BH side (just under 1%). And the same with errors (average 11.5%). For every return winner, there are 16 return errors.