I've had stellar results with the Sigma adapter with A7RIII and A7III excepting with one lens. The Canon 85 1.8 would not focus accurately at all. My L lenses focus great EXCEPT, I just had a problem on a shoot a few days ago and I was going to start a new thread, but this is relevant...
I don't shoot sports & given that, up to this point the Canon optics with Sigma adapter has worked flawlessly. Had the simplest of shoots. Static speakers handing out a few awards. A7III with Canon 70-200 F4 mounted. 6400 ISO 400th Sec @ F4. SINGLE SHOT advance on the A7III all snapped right into focus. IS was turned on the 70-200L and camera was rock steady. I then tried a few shots on continuous slow advance AF. Hit the focus button on camera body (I use back button AF to actuate), and the 70-200 F4 L shifted wildly out of focus and would not regain focus. I had to rack the Canon lens back manually and this series of 7 shots was slightly out of focus after my manual focus attempt during the heat of shooting. WAS it the lens/adapter combo, OR was it shifting to continuous-slow advance the culprit? Would the Sony 70-200 F4 without an adapter have nailed the focus?
I'm loving my entry into the Sony system but this issue was very disconcerting as this was just a dumb-simple scenario that I never missed using AF with a 9 year old Canon body. Even shooting full manual focus lenses I would never miss-focus this kind of scenario.
I can't repeat this scenario to test but if I have any indication that it's the adapter, I'll find the $$ to buy the native-Sony F4 pro lens.