The only term used for fuel tanks vented in this fashion is Uniflow. You are using a term of your own that has no meaning, unless it would be for a tank without an overflow (those are capped after filling), a no-overflow tank would require the pitman to fill while the plane stands up on its nose, watching for fuel to come out the engine intake.
The "standard venting" tanks remained open to atmospheric pressure, and as the fuel level dropped, the engine would lean out. With the old engines that ran a 4-2-4 breaking engine run, this was an advantage in competition, as the latter maneuvers in the pattern get more difficult. With a slightly lean setting, as might have been desired in gusty wind conditions, the final 8-10 laps might've been excessively lean, perhaps even to the point of pre-ignition.
As single-speed engines became more popular, this speed-up at the end became even more undesirable, and that's what Uniflow is all about.