A bigger reason we should be able to run websites on our phones is to run decentralized or local-first web apps, but this requires also solving that our phones' network become accessible (e.g. implement Ipv6, but preferably bootstrap some fancy mesh network on-the-fly)
We should be chatting p2p through wifi/bluetooth by just letting our friends scan a QR code that links to our phone's web server that serves a p2p client for real-time chat in the middle of the jungle
In that same way, we should be playing games, take notes, run fair micro elections / lotteries, and hundreds of other coordination apps