That's true but it seems they will come in irregardless. I just finished the email test using a POP3 which is my local ISP. It worked also and it took 20 minutes in this case.
Interestingly, but not altogether surprising, the times showing up in my phone's received messages are close to when I am actually sending them from the PC. In other words, they are landing on the various servers in a short time and being reported as such, both in the case of Gmail and my local ISP. But it just takes awhile for the audible alert to sound. Interesting that the POP check was almost 20 minutes on the nose, could be something there or could be a simple fluke.
Now I did have one experience earlier where an SMS came in while I was waiting an like howarmat said, that forced one of my test emails through along with it. I've had several instances where this has occured over the last several days and now I know why sometimes I get multiple alerts ramming through turning the phone into a notifications gone wild device.
But in the last 2 situations, nothing came into the phone except the emails themselves which is a great sign IMO. I'm going to call it "semi-push" email even when Always Enable is not selected.