Typically, one line is the tank vent, and one is the overflow which is above the seal for the gas cap. The overflow line should have no effect on the vacuum created as long as the gas cap seals properly. As the gas in the main tank is consumed, it is replaced by the gas in the auxiliary tank, in real time. The auxiliary tank vent becomes the vent for both tanks. That’s how I understand it should work. Problems can occur by filling the main tank first if the auxiliary tank is empty. This can trap air in the vent line. If the vacuum is not maintained properly then air lock can occur.