I’ve used an extra LP hose with an inflation nozzle just for DSMB inflation before. Clipped off to the right side.I am most definitely not detaching my DS inflation hose. Just as I'm not detaching my BCD inflation hose.
Inflating the sausage is (usually) optional. Being able to maintain buoyancy is never optional. I'd rather have my buoyancy bubble in my suit or in my wing than having it in a detachable piece of gear like a sausage, because I'd rather not have to ditch my weights at depth if SHTF. I'd rather struggle to orally inflate my sausage in 4C water that detaching my DS inflation hose.