While the Intel stock HSF does work, I never use it - it never even comes out of the box.
It is on the bottom of the heap interms of performance. The push pin design is poor and is the number one reason that people have a problem with the initial installation.
The cooler the CPU is the happer it is. The CPU, when under load, will run 10 C higher than with a $30 Hyper 212+ It you use the stock HSF and run Prime 95 to check stability you will hit 65 -> 70 C within 15 minutes and that is at stock Freq. Normally you run prime95 for 4 -> 8 Hours to check stability.
As to OCing, as the old saying goes hitting 4.2->4.6 is so easy a caveman can do it. The caveman is smart enough to not use the Stock HSF for this.