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If it's going to be for more than a dive or two, I'll remove it from the first stage and plug it. But if it's an occasional wetsuit dive, I tuck the hose into my cambands (they stay put because the end of the camband is still velcro'ed down.
I CAN pull my BC inflator hose over to my drysuit valve if I have to -- I have done it.
But honestly, I don't find it that big an issue just to route the hose down between the wing and the plate. It stays nicely put, allows me an option, and doesn't even look bad.
For technical dives, I make sure I have enough Argon, but for recreational dives, I'll push the limits on what's in the bottle, and use the other hose if I have to. So far, I've used it once.