Same answer: Yes, but in this case your PC is doing something. It has a purpose. 24/7 without doing anything is a waste of energy.
But you made a claim that "this was never the case", when clearly there was an era of home desktop computing when your desktop could act as a hobbyist server. This era gave rise to BBSes, then MUDs, then Minecraft servers (and many things in between).
Yes, but again, you have used your PC for something. This has shifted to smaller (Raspberry Pis) or dedicated servers (or "cloud" stuff), so you could run this stuff there.