shooting in silent mode might be ok if your images are still, however if shooting anything with movement you risk distortion ruining your image due to rolling shutter effect.
I shoot sports - that's my job. Used electronic shutter on A9, A9-2, now on A1. My default shutter speed is 1/1000 sec. Never had a problem with the rolling shutter effect.
The electronic shutter does not increase the counter of the mechanical shutter as it is not being used.