So I have this CPU and I'm using it with the box cooler, in a case that is pretty small so I didn't have a lot of other options, (which means the case also has bad airflow...) And I fire up Factorio and play and I'm having absolutely no problems with cooling: the temperature has never gotten above 67C (and it bounces around and it often in the 50s...) The fan speed/noise increases when I launch the game vs sitting at the Windows desktop, (as expected...)
For synthetic benchmarks, sure, you can probably do better than the stock cooler. But for the average customer buying a middle of the road chip like this: spending $20 on a different cooler is just a waste of $20.