You know, I don't have a good answer for that, except that, an hour after a 100 foot dive, I don't feel good about the idea of a bounce, particularly if it might involve a few minutes at depth and significant exertion (as this did). I don't have a lot of data to support this feeling, except the idea that, if any of us were bubbling (as we might well have been), the bubbles might get through the lungs if compressed again, and expand on ascent. By doing a longer dive, and a careful minimum deco ascent, we reduce the risk of that happening (whatever that risk is). I'm so conservative, I even doubled the shallow stops, although with an hour's surface interval, that's not strictly required.
I think this could have been handled neatly and safely just by having thought the issues through on the boat and arranged some simple signaling. And the big message was not to move important references unless you're sure all the other divers who might need to use them are out of the water.