It would be nice if someone from TeamViewer actually monitored and responded to these posts! My use case is different in that I use TeamViewer mostly to access my home PCs when I'm at work. I'm a user and not an IT guy I'm afraid. I haven't had the second problem you describe. The only other issue I've had is losing the remote PC altogether in TeamViewer becuase the remote PC lost power and went to sleep. I don't use the Wake on LAN option but might try that. What I find strange is that it used to work fine and suddenly stopped when nothing changed on the remote PC, and that it works fine with Chrome Remote Desktop, which is free. I'm not sure if the problem started after a TeamViewer upgrade or not.
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I have the exact same problem. TeamViewer was working fine for many months but then a couple of weeks ago the remote computer started disappearing from the My Computers list as soon as the PC display shuts off. The remote PC is set to never sleep, so that's not the issue. I'm using TV version 12.0.82216 on both PCs. Interestingly, Chrome Remote Desktop still recognizes the PC when the screen is off, even though TeamViewer does not. So the problem seems to be something in TeamViewer that changed. Since I prefer TeamViewer over Chrome RD, the workaround I use is to access the remote PC using Chrome RD and, once the screen is on and TeamViewer can see the PC, I use TeamViewer. It's inelegant and kludgy but works.
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