Why do printers regularly fall off?

Question

RDP

Good day, I have been struggling with the problem of unauthorized shutdown of printers for users on terminals for quite a long time, I will give an example of a scheme. There is a dc1, a print server and a farm (broker) from terminals, let's say 5 pieces. Printers are distributed using GPO. The user connects to the terminals through RDP and interacts with them.
The usual scheme, nothing unusual, and now the problem itself, the user often falls off the printer (by default), for some individuals several go out at once (do not work), the downside is that they turn gray, ping but there is no connection with them at the spooler level. Actually, rebooting the spooler on the terminal helps, if so, a few more. On some terminals, the situation is better, on some it is worse.
I tried to watch spooler errors, but even if they were not there, they did not coincide in time with the occurrence of the problem itself, or rather, the name of the printers did not even match.
I also changed the drivers on the print-server, it didn’t give much effect, more precisely, no effect at all.
I think the print-server may be to blame, or rather its connection with a certain terminal, which at some point is broken, but why then not all printers is unclear, but this is also very superficial.
Maybe someone came across, tell me where to dig? Thank you in advance for the answers.
UPD
I want to add that the terminals and the print-server are on the same domain, and the actual users who connect to the other.

Answer 1

Probably printers go into energy saving or the print server does not have Wake-on-LAN technology and goes to sleep itself.

Answer 2

Question: why two domains? What system is on the print server? In Windows 2012R2, printer redirection + Easy Print driver works fine, in addition, look everywhere for power and power saving settings so that again the electrician does not become more important than the admin :)