The shunt regulator in the integration eliminates the benefits of different diodes or a choke in the power supply. Additionally, power supply noise is 120Hz, which is commonly described as a buzz rather than a hum. Hum is almost always ground related, and won't be eliminated by adding fancy parts to the Reduction (though you could potentially make it worse with these efforts).
The Crack is a low gain circuit fairly far up the chain in terms of signal level. There's generally at least 100 times the signal coming into a Crack compared to a Reduction, so the comparison of noise floors between the two components is not particularly helpful.