I have my monitors set to shut off after ~20 min of inactivity. Once they do, my CPU fan (or possibly GPU, I haven't checked) will spin up and down, going to 100% for about 5 seconds then off for maybe 20, back and forth. The system isn't isn't asleep, just the monitors.
AMD 2200G, AMD 570 GPU, 16gb ram, Win10 2004 for what it's worth. I haven't really done any diagnostic but temps are in the low 40s, with nothing really running in the background.