Sure, but cgnat doesn't defeat filesharing, because of your STUN and your DERP and what-have-you.
It's common, at least in the UK, for residential lines to block smtp inbound. That's an ACL, which is operationally ~free. NAT does not serve the purposes you've outlined.
Some cynicism is warranted about, e.g. chat control, but it's better explained by good-faith desire to fight egregious crime coupled with low care for the privacy invasion. Other people have different values to you and me.
It's hard to reconcile an EU government in anyone's pocket with gdpr and dma, which afaics serve citizens and no big interests. Like most governments, the EU is somewhat fractious and incoherent, so it's not a given that everything they do is citizen-friendly. But i, for one, accept that law enforcement should exist; accept that this is inevitably a trade-off against citizen rights; concede that preventing the next bataclan is nigh-on impossible; and understand why some might, to that end, desire greater power to comb through conversations. I don't agree, but i also don't need to assume conspiracy. At heart, the problem is not that all government is evil - although you're welcome to that view - it's that thick pillocks vote without any consideration of nuance.