You must have been working with at least quite young people or something. My experience goes the other way. I've seen people who bought a new computer because their fans were running at max and the reason for that was that they were full with dust and dog hair.
Right, they might notice it, but why would they care? They don't know that they should care, it is just a computer being a computer and it probably spins up the fans for other tasks too. They would be right to not care unless told otherwise, sys ops isn't their job.
I think it would be smart to educate people as part of a regular security briefing for non technical staff though. But if it's something that high of concern to your company maybe an automated CPU usage monitor could alert the team to anomalies.
[1] I was running a test today when the program being tested ran into a very tight loop and the fan really kicked in. I was curious if it would finish and let it run for several minutes until all went quiet and the screen went dark. It had shutdown to prevent heat damage.