Yes, my entire A mount line up was adapted with the LA-EA3 and 4.
They work very well on the third gen. Eye AF and autofocus work great
What is required for Eye AF? I find conflicting reports in my research online - some people say it doesn't work on the LA-EA3...
I used Sony SAM 28-75/2.8 with laea3 + A7Rii and when I tried to use the button for eye-Af I got a super-great message in a black box saying "not supported by lens" ... But it was still possible to use face detection.
Could be interesting to know how this works on the new 3rd generation.
Other observation from A7Rii still:
Not possible to use the focus mode with groups, but if i remember well flexible spot was possible.
Another thing you should be interested in, is to know if you need or not tracking ability above 3 fps... ? Here too the experiences of each other are a bit confusing. Some claim that they are able to track focus @10fps, others say that @10fps tracking focus ain't working .... very confusing.
Last and not the least with A-mount you are using only PDAF, no contrast (but logic due to the design of A-mount lenses)
If you go the adapting route, be prepared to make trade-offs.
What is the A-mount body you're coming from BTW ?
EDIT: Just checked your signature, no A-mount body. I don't see the reason why you would adapt a-mount lenses... But give it a try and enjoy the experimentations