Right, I understand that. We all do lost gas scenario, which means that we can complete all required deco assuming that we have to deco on our backgas at the end of the dive, with the maximum inert gas loading of the planned bottom time. My point is that lost gas is a contingency for when you ascend fully loaded and THEN find out that you don't have the option of accelerated deco. It's less than ideal, and it involves an increased risk if anything happens to your back gas (yes, I know, two failures).
But the OPs scenario was losing your deco gas during the dive, and then making the decision to KEEP on loading inert gas. So you are voluntarily increasing your deco obligation while already in a failure mode and working on contingency. I wouldn't do that, no matter how comfortable I was doing a longer deco on my back gas. There is no reason not to end the dive at that point.
If you were in a cave with two lights, and one failed, would you continue on with one, to the point of maximum penetration that you felt comfortable doing with only one light, or would you turn the dive and exit? How is this different?
He's just doing a backgas deco dive - its not the end of the world if the deco obligation is short or manageable.
Rock bottom is customarily calculated as enough gas to get you and an OOA buddy to the next gas source. That is either the surface (in recreational diving) or a deco gas.Just to clarify, in a buddy dive there is a contingency against two major failures--failed manifold and lost deco, or two lost deco, etc and those care covered by buddy's deco gas, your 2nd deco gas if dive requires it, and the 3rd of backgas/min gas reserve. A solo dive can handle one major failure, maybe 1.5 depending on time and circumstances
So no you can't have an OOA buddy and lose a deco gas too. That's two majors. You can try to plan for those but you are going to rapidly plan yourself out of diving at all. If you are doing this (successfully?) I'd love to see your 2 majors gas plan for a 240ft 25min dive. Use whatever consumption rates you want.