Shoot - I would slap the lid back on it and run it for the next 20 years, but thats me.
My bad tank acts the same, but at an idle. At an idle it can't pull enough vacuum to over come the air leak. Priming the bulb does. If you question the tank, start there. It is possible that the fuel pump could have issues, but a simple o-ring is an easy thing to eliminate.
And from experience I can tell you that even a small air leak in the fuel line can and will cause some weird behavior.
I have two tanks and it does the same thing on both tanks so it's definitely not a tank issue. The other indicator is that it only seems to do this when the motor is hot. I replaced the connector to the motor yesterday so we'll see how it goes later this week.