My PS4 Pro rattles and hums. However, it is only clearly audible in very complex games. It's very strong at Days Gone. When the game loads, then it stutters rattling, that is, it disappears briefly and is back. In the game it is heard permanently. This noise even drowns out some of the fans. Can you do something there or do I have to send it in? It is the latest model, just a week old. I can exclude the hard drive because it is external and it does not generate any vibrations.
Classic with the Ps4. Put the Ps4 aside. That helps a little. I built a separate fan underneath, which actually does a lot. It is best to keep some distance from the wall so that the heat can escape better and does not build up. You can also clean the fan.
Simply putting PS4 aside is bad advice. You need the extra stand or an attachment, otherwise you really kill the PS4.
And besides, the error description doesn't sound like a fan problem at all, he writes that himself.
Do you use disc versions? They usually emit this characteristic sound, which is very different from the fan and the hard drive.
Make sure that a good air circulation is available. Dust the PS4 regularly and clean the fans.
Then that shouldn't be a problem.
I've only had the Playstation for a week.