...The answer is, we live with the possibility that if a buddy goes OOA and we lose a tank, we don't have enough gas to get us both home. No problemo, question posed and answer given, I have zero editorial opinion about the answer.
That's all.
If you plan your dive so that you are completely buddy independent, then whatever happens to your buddy should not affect your dive.
Running OOA is a novice stunt. You would never expect such a thing on a technical-deco dive. Tank, bottle, or valve failure is the contingency you need to pre-plan for.
If a tank or reg fails, you simply isolate quickly, then shut down the valve.
If a valve on a tank fails, you simply isolate quickly.
Some agencies teach you to futz around with the valve before you isolate. But not all are that foolish.
If a deco bottle fails, you simply proceed with the last mix to the next gas switch, and reprogram your dive computer, or turn to another slate, or modify the in-your-head method you are using for deco.
Only after two such bottle failures in a row would I consider buddy breathing deco mix, thereby becoming buddy dependent.
If all your gear has been serviced annually, and you checked everything yourself carefully, listening for leaks, when you put it all together, a double-failure seems statistically improbable. Anything can break anytime, but two things breaking together is virtually impossible, if you are any kind of good diver who prepares properly.
When you take a tech-deco class, they will normally teach you how to think, and how to plan contingencies like that.
Rule of thirds works fine for me, on the back gas, and extra for the deco bottles as well. If you take a look at the specifics of the plan, and plan your tank sizes properly, you will see that there is plenty of gas for several contingencies:
250 FT 25 MINS TMX 15 / 55 +3 ALL EVENTS
4 DECO MIXES
V-Planner 3.43 by R. Hemingway, VPM code by Erik C. Baker.
Decompression model: VPM-B
DIVE PLAN #1
Surface interval = 5 day 0 hr 0 min.
Elevation = 0ft
Conservatism = + 3
Dec to 100ft (2) on Trimix 20.0/40.0, 50ft/min descent.
Dec to 250ft (4) on Trimix 15.0/55.0, 60ft/min descent.
Level 250ft 20:10 (25) on Trimix 15.0/55.0, 1.28 ppO2, 74ft ead, 94ft end
Asc to 190ft (27) on Trimix 15.0/55.0, -30ft/min ascent.
Asc to 180ft (27) on Trimix 20.0/40.0, -30ft/min ascent.
Stop at 180ft 0:40 (28) on Trimix 20.0/40.0, 1.29 ppO2, 75ft ead, 95ft end
Stop at 170ft 1:00 (29) on Trimix 20.0/40.0, 1.23 ppO2, 70ft ead, 89ft end
Stop at 160ft 1:00 (30) on Trimix 20.0/40.0, 1.17 ppO2, 65ft ead, 83ft end
Stop at 150ft 1:00 (31) on Trimix 20.0/40.0, 1.11 ppO2, 60ft ead, 77ft end
Stop at 140ft 1:00 (32) on Trimix 20.0/40.0, 1.05 ppO2, 55ft ead, 71ft end
Stop at 130ft 1:00 (33) on Trimix 30.0/30.0, 1.48 ppO2, 49ft ead, 81ft end
Stop at 120ft 1:00 (34) on Trimix 30.0/30.0, 1.39 ppO2, 44ft ead, 74ft end
Stop at 110ft 1:00 (35) on Trimix 30.0/30.0, 1.30 ppO2, 39ft ead, 67ft end
Stop at 100ft 2:00 (37) on Trimix 30.0/30.0, 1.21 ppO2, 34ft ead, 60ft end
Stop at 90ft 2:00 (39) on Trimix 30.0/30.0, 1.12 ppO2, 29ft ead, 53ft end
Stop at 80ft 4:00 (43) on Trimix 30.0/30.0, 1.03 ppO2, 24ft ead, 46ft end
Stop at 70ft 2:00 (45) on Nitrox 50.0, 1.56 ppO2, 32ft ead
Stop at 60ft 4:00 (49) on Nitrox 50.0, 1.41 ppO2, 26ft ead
Stop at 50ft 4:00 (53) on Nitrox 50.0, 1.26 ppO2, 20ft ead
Stop at 40ft 6:00 (59) on Nitrox 50.0, 1.10 ppO2, 13ft ead
Stop at 30ft 9:00 (68) on Nitrox 50.0, 0.95 ppO2, 7ft ead
Stop at 20ft 5:00 (73) on Oxygen, 1.60 ppO2, 0ft ead
Stop at 15ft 26:00 (99) on Oxygen, 1.45 ppO2, 0ft ead
Asc to sfc. (99) on Oxygen, -30ft/min ascent.
Off gassing starts at 199.6ft
OTU's this dive: 141
CNS Total: 61.9%
157.9 cu ft Trimix 15.0/55.0 [twin 120s or larger for rule of thirds]
17.2 cu ft Trimix 20.0/40.0 [these are all 40 cu ft bottles]
21.4 cu ft Trimix 30.0/30.0
28.9 cu ft Nitrox 50.0
23.0 cu ft Oxygen
248.3 cu ft TOTAL
Most divers would use two or three 80 cu ft deco tanks instead. I get better results with four 40s however. Either way, you have several possibilities to deal with several contingenies. Some people give me grief about my choice of 20/40, 30/30 together with EAN 50 and 100% O2. Whatever floats their boat is fine with me, I'll bring whatever I want.
Regarding how deep you can go into the wreck or cave, that will depend on the size of your twin tanks.
That's why its nice to have twin 130s.