Cool thread...
What I like about it is that the question becomes "who owns your text messages". When you sign up for cell service or internet....if it isn't spelled out in the agreement about who has copyright on what you create....it is an open question. Unless it says that "T-Mobile owns your messages", you're probably covered by copyright law. A bigger question becomes whether Verizon or T-Mobile or even the hardware makers--Apple and Samsung--can get into the game of censorship. If Apple doesn't like what you're doing with their devices, can they refuse to sell you a phone? If Verizon doesn't like what your messaging, can they just terminate the contract? It's not infringing on a copyright...its simply a termination of the contract.
As for Biden and whatever the video was (Grumps is here to steer traffic to YouTube...nothing more)...I'm sure it's all made up.
But the root question is interesting.
Copyright protection requires that the litmus test of “modicum of originality” be met, for example if you’re texting someone regarding the current weather conditions there is no reasonable argument to be made for originality, thus no basis for copyright protection. The other consideration is that a text conversation between two people even if it meets the originality benchmark would be subject to joint copyright protection, meaning that one of the two parties is free to use,distribute, modify the content without the consent of the other party.
There is also the question of FAIR USE which raises the question of the nature of the use, the nature of the copyrighted material and the effects of the use. So again your text conversation could be used, re-distributed, etc., without your consent if certain conditions are met even if the content met the criteria for copyright protection.
As far as termination of contract by a carrier (e.g. Verizon) could only get away with that if the subscriber violated the terms of the contract (aka terms of service) and the carrier can demonstrate such violation in court, otherwise it would be a breach. However said carrier could refuse to enter into a contract with you for any reason it deems appropriate, not subject to any preset terms. As far as an equipment manufacturer like Apple, they could refuse to sell you a phone for whatever reason they like, it’s a voluntary transaction after all, just like you could refuse to sell your garden hose to a prospective buyer because you don’t like the color of his hair.
If you’re really worried about a carrier misusing your messages then you can always go with a peer-to-peer, end to end encryption messaging system (e.g. Wire).