No, it works per app. I'm also a TC user, it's quite great. Per app you tell it whether it should allow talking to various motherships. You can toggle on broad categories (for a given app) or also more fine-grained. It also logs which services applications tried to contact, so I can see that Spotify that I pay for is trying to send god knows what to Facebook (and that TC blocks it).
It takes a bit of setup because a ton of apps talk to a ton of centralized services (Aurora store and Newpipe obviously need to talk to Google, for example), but after that I'm a lot less bothered by apps including the Facebook sdk or something because it'll be stopped anyhow.
I'm waiting for the day that apps/websites stop telling your phone/browser to rat on you and they start doing it server-side. Lot less gdpr trouble because nobody can check what you're doing and goodbye blocklists. But so far it seems things don't yet work that way.