It's very easy to forget that the 24MP APS-C sensor is equal to a 56MP full frame, and therefore higher resolution than the A7RII and even than the Canon 5DSR. So of all the sensors out there, it imposes the greatest demands on the centre of the image field (for full frame lenses) or the entire field (for APS-C lenses). Here's what I have found: some wide aperture lenses are soft fully open, such as the 50mm f/1.8 OSS, but sharpen up quickly on stopping down. Older zooms are generally soft wide open, while new zooms tend to be very sharp centrally but have a little more obvious fall off, not always corrected fully by stopping down.
All the OSS lenses, such as the 10-18mm f/4, are completely dependent on constant power to the focus and OSS mechanisms (even when OSS is turned off, the lens is parked electronically not mechanically). All E-mount lenses depend on power even for manual focus and the slightest loss of power will have serious results. Therefore, it's absolutely vital that the mount electrical contacts are perfectly clean and maintained well, and the battery is reliable and in good condition. The slightest fluctuation in power-up status of any E-mount lens can decentre it (OSS) or lose focus and at the worst can lose sharp imaging (because for zooms, they depend on power-up to move two or three groups into place before even focusing). I now think that the problems with some lenses on the original A7R are related to power drain, and that's why the new GM lenses use such unusual solutions to moving the glass. So many people report exceptional performance from old manual adapted lenses - and these, of course, are completely free of this problem.