I've been taught this method, but I find it increases complexity for no benefit. We don't hold on to our DSMB, once we have enough gas in it we let it go. Now you're being pulled up while your gear is pulling you down and you have to reestablish buoyancy and trim. It's just a terrible method IMO.
I like to keep things simple where that's possible. Prepare the DSMB for deployment and then use second stage exhaust gas, another reg or LPI to inflate the DSMB. It only takes a couple of breaths at depth and the buoyancy barely has time to change. Additionally, my trim doesn't suffer and I'm not vertical, kicking up, while trying to establish buoyancy again. So not only is it easier, faster and more convenient, but you'll look much cooler doing it