That wouldn’t lead to the end of culture but a cultural explosion as people became able to remix and propagate ideas more freely without the fear of punishment for violating artificial state-enforced monopolies.
No one is obligated to create a work and no one is obligated to share their created works with others. There’s no inherent right to anything once you put an idea out there and the legal constructs are just novel artificial ways to keep the have-nots from competing with the haves.
Culture existed well before notions of intellectual property and if anything today we have far better means of both producing works ourselves and collectively funding works that might not exist without compensation.
Rewarding the top 0.0001% of lucky creators with huge compensation isn’t worth the broad societal damage that is done by preventing people from sharing or making use of ideas.