I just had the issue of monitor going into sleep / power save mode again after 5 minutes of being logged into Eve. This time I had Firefox browser active but it was minimized.
Now when my computer is shut down with apps active, it takes almost 5 minutes for it to recover before I can access / activate anything. By the time I re-log back into Eve it will be closer to 10 minutes so I don’t think submitting a bug report will show anything.
I’m going to try logging in again but with the Firefox browser open and see if the issue happens again.