a) Page A currently inlines half dozen small assets on every page. These inlined resources inflate every page and are delivered at same priority as HTML. By contrast, a "dumb push" server delivers these same assets as individual resources via push. Net benefit? Basically same performance since inlining is a form of application-layer push. However, a smart server can at least prioritize and multiplex push bytes in a smarter way... Now, let's make the server just a tiny bit smarter. If it's the same TCP connection and the server has already pushed the resource, don't push it on next request. Now we're also saving bytes... <insert own smarter strategy here>.
b) Page B has two CSS and one JS file in the critical rendering path. Without push you either inline all three (ouch), or, you roundtrip to the client and get it to parse the HTML to discover these resources and come back to the server... With push, the server can avoid the extra RTT and push those assets directly to the client -- this is a huge performance win. How does the server know? Well, either you made it smart.. or you use some adaptive strategy like looking at past referrers and building a map of "when client requests X, they also come back for Y and Z" - this is already available in Jetty.
The fears of extra bytes are also somewhat exaggerated (they're valid, but exaggerated). The client, if they desire, can disable push. The client can also use flow-control to throttle how much data can be transferred in first push window (both FF and Chrome do this already). Lastly, the client can always decline and/or RST a push resource.
Some additional resources: - http://chimera.labs.oreilly.com/books/1230000000545/ch12.htm... - http://www.igvita.com/2013/06/12/innovating-with-http-2.0-se...