THERE IS NO SUCH THING AS TRUE "PUSH-MAIL". read the fine print
I'd like to draw your attention to the following info:
Note the use of the term "long-lived HTTPS request"
This/similar technology has been available for AGES, in the form of IMAP-IDLE:
For those wanting the short version:
Your client (mobile device, MTA, other mail client) establishes a connecting session to it's mail server, and sends a sync ping to the server periodically to keep the connection alive. When new mail arrives on the server, it uses the open connection to send a signal to the client REQUESTING THAT IT COME & RETRIEVE THE MAIL from the server. It DOES NOT PUSH mail in the true sence of the term, the way that SMS is truly push.
The markeing info out there is DECEPTIVE.
Your service provider is fiddling/masaging the numbers & hiding the traffic under your service charge (I also have doubts about the legality of this action, but that's a rant for another day).
This sort of service would have a significant data overhead, absolutely KILL your standby time (as you are esentially connected 24/7), not to mention the possible security risk of walking around with a device with all your personal info & a persistent open radio connection listening for any incomming commands.
I'm open to any correction if you are able to find fault with my logic