If you're Catholic, you want to religiously convert every province to gain +5 Papal Influence per province
which totals nearly 250 for the whole of the Americas
that's 5-10 years' worth, and is enough to make you Curia Controller, and stay Controller, for decades to come.
This alone is enough to never release nations and re-annex them!
Unless of course you don't want to be or stay Catholic. I personally like being curia controller and defender of the faith for the bonuses. In my game as Portugal, I was curia controller for 250 years.