with mechanical shutter I am sure not having distortion/banding.
Sorry but you have a wrong understanding of shutters. Every focal plane shutter can have banding and distortion. And yes, that includes mechanical shutters. The A9 doesn't have more distortion than mechanical shutters with 1/160th sync speed.
The mechanical shutter of the new Fuji GFX for example has more banding and distortion problems, than the A9s electronic shutter, due to its 1/120th sync speed.
Let's address the problems one by one. First distortion. The A9 has no problem there. And that is in 100% of the cases, or did you ever hear somebody complain about the rolling shutter they got from their film DSLR? Those often had even far lower sync speeds.
Second: banding. The A9 has no problem here in all cases, expect very high frequency light with very high shutter speeds. But that really isn't a problem with the A9 but with all cameras. Search a bit online and you will find out that banding isn't a problem that arrived with electronic shutter, but has long been a problem for DSLRs