The internet is not the web. SMTP is "push", VoIP is "push", scp from my local machine to a remote machine is "push" ... sure, there generally should be some form of consent on the part of the receiving party, but just because HTTP is limited to pulling stuff, doesn't mean there aren't less limited protocols around.
SMTP: nope, the server accepts your connection before you do anything
VoIP: generally negotiated somehow before the UDP "pushing" happens
scp: just because in your mind it's a "push" doesn't make it so. In reality the other machine is sending you acks, without which your machine wouldn't continue "push"ing and thus, again consent is required. finally you're logged in to that other machine which nearly universally equates to consent
