If data costs and speeds weren't an issue, would we be aided by having a simple and secure web server on every mobile device? I know that's a big if, but if app

If data costs and speeds weren't an issue, would we be aided by having a simple and secure web server on every mobile device? I know that's a big if, but if apps helped people create static content on their device that was optionally mirrored when they were unavailable, this could be an interesting shift?