Slight aside: keeping a TCP connection consomes almost nothing. In fact, that's how push notifications work today on Android: a TCP connection is kept open, and apps' server send a ping to Google to tell the mobile to wake up.
What prevents power-saving is if every app keeps a different socket open to a different server and pings the servers on different schedules. That forces the mobile to wake up constantly.
It would be interesting to see whether Facebook/WhatsApp and iMessage have made them desperate enough to reverse course on XMPP but I'm skeptical that they'd be trusted enough to be successful.
¹ https://mail.jabber.org/pipermail/operators/2013-February/00... and then https://mail.jabber.org/pipermail/operators/2013-May/001680....