Try it, load up Prime95, commence burn, and watch your temps. If they start spiking too high for your liking, turn it off and get a better cooler.
We've been over this. The Hyper 212 is only $20-30 if you need a better cooler.
If we lose this freedom of ours, history will record with the greatest astonishment, those who had the most to lose, did the least to prevent its happening.