I have an older AIR2 style inflator and I usually take it out of my mouth. This is because it vents via the mouthpiece. I don't want a lung full of fungus.
As for the derogatory AIR2 comments, I'm an AIR 2 fan when it comes to rec.
@ 30 to 50ft in crystal blue water I dive a hose less AI comp and Air2, full foot fins, clear silicone mask, a shorty and I'm flying!!!
The 70 - 100 ft dry suit 2X12L, SS BP Rig, canister light, argon tank, in near freezing water of my daily diving is still fun diving but does not compare.
Match the gear to the dive. There is no 1 "right" rig.
I am in the same position. I plan to use the Air II in warm waters (holidays) only.
In cold water lakes use two independent regs (the Air II remains on my BC but not as secondary).