Actually it doesn't have to do the whole bill process. It has to be approved by both houses, sure, but it's not a normal bill. The CRA basically allows Congress to reverse a new regulation within 6 months, thus reverting to the previous administrative rules. This is what the GOP did to reverse a lot of Obama rules. Because it can skip committee review, it will go to the President a lot faster.
"Kitto daijoubu da yo." - Sakura Kinomoto