Check out IPFS, this is already happening in the NFT world. Have you noticed how all NFTs are high quality and not compressed to shit? That's because of the IPFS.
Many NFTs reference third-party hosting services for this reason (that's the real service; the part on the blockchain is the expensive vanity link) and anyone using IPFS for real will need to pay for ongoing hosting if they want their content to remain available.
Part of what dictates this will be abuse: if you provide free hosting to strangers on the internet, they will exhaust your capacity and some will try to host material which violates copyright or other laws. Over time, anyone not getting paid to deal with that will stop offering free hosting to random strangers on the internet.