If it passes over a central server, does it really count as p2p?
If browsers grew p2p capabilities [1], we could begin to bypass centralization and build truly distributed (not just federated) social networks, news systems, and the like.
Imagine not having to run "archive.is" against headlines. You just share them - tamperlessly - with others. And the comment graph. You could even begin to boost high-value content with your own algorithm that you control.
P2P in browsers would return us to where many of us thought the internet would lead us in the early 00's. The disappearance of bittorrent and arrival of central platforms like Facebook felt like the future faded away and disappeared.
People are using Discord now, but in the 00's people used completely customizable open source clients to connect to their favorite messaging platforms. You can't even imagine that today. Everything is a platform.
[1] I doubt Google would ever get behind this. Centralization reinforces their ads business.