As an example, let's use a high end SCR, say 1 CFM. On a 120 ft dive, you'd need 4 minutes at an average depth of 60 FSW, or a bit less than 12 CF for the ascent. Add a five minute safety stop at 15 feet, a bit under another 7.5 CF, for a total of 19.5 CF. That'd leave over 10 CF (1000 psi) in a 30 CF pony... a comfortable margin.
Uh, let's redo that math a bit, eh?
Remember, you stop at 15', so your average depth during the ascent is 52', not 60'. So let's make that dive a 130' (maximum "recreational depth") to make the math work more-or-less.
Ok, so we have a 4 minute ascent, requiring the aforementioned 12 cf. We assume you have one minute at 4 ATM to figure out what the heck happened, for a total of 16cf. And now we're going to hang for 3 minutes @ 15', which is 4.5cf, which runs you out on the 19cf bottle

But if you draw and go, you make it with about 3.5cf left, or about 540psi (assuming you started with 3,000.)
Now this is a "worst case" scenario. If you're at 110' when you draw and go, you require 7.7 cuft for the ascent, and when you arrive you have more than half the bottle remaining. This actually gives you the ability to take that minute on the bottom to sort it out before starting up.
Alternatively, you can use the "old" ascent rules of 60fpm (remember, this is a "brown water" bailout bottle) in which case you cut your gas requirements in half for the ascent. You might be ahead of the game to do exactly that, assuming you can extend the 15' hang bigtime by doing so. For example, from 110' you would burn only 6 cubes on the ascent doing that, which would leave you with 13 cf - or about 8 minutes of air - at the 15' stop.
You can also do the 30 cube pony, but now we're talking about a tank that is almost the same size as a real bottle in terms of length and such, and its starting to get to be a PITA to transport and carry. At some point the pony becomes enough trouble that you won't take it - and thus, useless.
A redundant system that you don't take due to inconvenience is worth nothing.