Web 2 as a term itself was coined much later when people needed to distinguish web 3 from status quo
0 - https://www.nytimes.com/2006/05/23/technology/23iht-web.html
Web1: read only
Web2: read-write
Web3: read-write-own
Web3: read slowly - write slowly - vague claims of "ownership" limited to particular blockchains each with no authority over anything off-chain.
But hey, smart contracts allow a long chain of intermediaries to bleed a percentage off all transactions.
for ex: take an instant USD loan on your stock, since you are the owner only your authority(signature) is needed. In web2 world you go through middlemen.