if everything on the page is from one server, it will all go over one connection. In the case of using a http cache, all the connections are made by the cache, and one connection is made to the cache by the end-user box.
But that's about using the same TCP connection to make multiple HTTP requests, whereas the proposal is to use one TCP connection and one HTTP request, e.g.
COMPOUND-GET /index.html
and the server sends a .gz of all required files / data to render index.html. (Not sure that would work so well with very dynamic, crosslinked and javascript heavy sites, but text and images might be possible).
