I have used non standard lenses on the A7 III but rarely. Never on the old A7 II. I use mostly the 24 - 240 zoom which has been a good lens for me. Good color and definition. The Sony/Zeiss 55mm f/1.8 is my only other lens for this camera.
Here are a couple of old ones from the II and a couple newer ones from the III. These are excellent cameras in my experience.
Chartres:
https://flic.kr/p/CPU55j
The Netherlands:
https://flic.kr/p/AyER84
Abandoned home along the Columbia:
https://flic.kr/p/2mpvPEk
The Astoria - Meglar Bridge:
https://flic.kr/p/2mj4TMk
I should use this camera more often.