I remember my old PS2 used to be perpetually on, I would come home and just flip on the tvand there was my game, sometimes it was a neccesity if I was playing a ps1 game because I didn’t have a ps1 memory card, I swear that thing had to be on for months at a time and it was just fine.
It gets a little harder the newer the console is though, take the 360, if I had done that with that console it would be red ringed before a week Take this with a grain of salt of course, if you wanna be safe, then yeah go ahead and keep it unplugged, or better yet, get a power switch so all you have to do is hit a button, but that was my experience