Ehh, I halfway agree, but there is value in keeping historical stuff around. Heritage laws exist in a good number of countries so that all the cultural architecture doesn’t get erased by developers looking to turn a quick buck or rich people who think that 500 year old castle could really use an infinity pool hot tub; there are strict requirements for a building to be heritage-listed but once they are, the owner is required by law to maintain it to historical standards.
I only halfway disagree because you’re right, forcing people to pay for something has never sat right with me generally. As long as the laws don’t bite people like you and me, e.g. there are relatively high requirements for something to be considered “culturally relevant” enough to preserve, I’d be okay with some kind of heritage system for preserving the internet.