Thinking more about it, while there is a limit here, I'm pretty sure it's one I don't need to care about.
My current project makes 4 outbound requests for some pretty common pages. That'd limit me to ~15k simultaneous page creations, which even at 250ms response times (I'm aiming for under 50ms) implies a limit of ~60,000 page views per second. (or 240,000 page views per second at my target 50ms page render time). If my app is getting 5billion pages views a day, I don't think I'm going to be worried about limits of shared paas hosting...