cerich:
Why? So both of you can be exposed to more risk? You isolate, you thumb, no if's or buts.
If you've been diving a conservative gas management plan you have enough gas to exit without going on your buddies long hose. Obviously you place the distress diver in the best position for the team and "close ranks". Going to your buddies long hose when you still have gas truly makes egress more difficult and places more divers at risk.
By the right tank for buoyancy I assume you are talking about the reg on the right post has the LP inflator hose coming off it. Only when wet would that be your only bouyancy, left post of argon bottle supply the drysuit.
Let's say I'm in a cave or wreck. Burst disk fails on the left. Isolated doubles. Unknown quantity on the right.
Do I share gas with my (let's say one) buddy or not? Like right now?
I say share now. You have some amount that may or may not get you out and to the surface in that right tank. E.g. failure at 1/3rd into a cave and you definately don't have enough since you might only have 1/2 or less of the right tank remaining - not 2/3rds. Some amount was lost.
The way Murphy works, that right tank will run out at a bad time, like when you are single file and can't turn around to ask for gas easily. Or on ascent when you are trying to hold the 70ft stop and some of the gas went in but then you didn't realize it ran out and you're dropping.
Yes sharing gas will slow you down a touch, but after the first couple minutes you should hit a groove and move at a good clip. Save the right tank's remaining gas for awhile for:
1) bouyancy (in your wing not DS), and
2) in case you need to or its dramatically faster/easier to breath you own tank for a short while.
E.g. On a tech dive you might consider sharing on the bottom but going back onto your own right post for ascent and you can both better control bouyancy vs. having an OOA midway up.
In a cave you might share for a few minutes maybe until you get to a narrowing (like the lips - based on what I've heard) then go back to your right tank for the constriction(s) or once back in the cavern zone.
I would not remain on the right tank for the entire exit/ascent of that dive. But I wouldn't necessarily share the whole way either.
That's how I would manage this failure, YMMV