ggunn:
Is a larger air supply a possible contributor to the possibility of a recreational diver getting bent? Is there a down side to the extended bottom times extolled by the proponents of diving with larger tanks?
Of course it's a possible contributor.

Soapbox alert!
Others on this board have used the term "riding the NDL" to describe the process of going deep until close to NDL; moving up a bit and staying until approaching NDL again; and then perhaps repeating the cycle a couple more times.
Multi-level diving is great, but when diving air with large tanks and/or low SAC , multi-level diving can easily turn into "riding the NDL".
If you run some "riding the NDL" profiles through a deco program or dive computer simulator, it's obvious that with air, once (Cu ft/SAC) gets up over 200 minutes it is really easy to have the 40 or 60 minute compartments become the controlling compartment (as opposed to a more normal situation where the controlling compartments are the 10 or 20 minute compartments).
In some ways, this is more dangerous than dropping to, say 100', and staying until you are a few minutes into deco. The difference is in how long it takes to offgass so that you have a good margin of safety.
In the square profile 100' profile, you can rather quickly get a good safety margin by offgassing your faster tissues with an appropriate ascent, deep stops, and safety stop/final deco stop. The mid-speed tissues still have a good safety margin since they never ongassed closed to the limits ("M-value if you choose to use Haldane-based terms).
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Repetitive diving aggravates this sort of problem. Since you have loaded up the slower compartments, you need very longer than normal surface intervals to get back to where you have decent amount of NDL.
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I used to more or less dive to NDL, move up 20 or 30' and continue until close to NDL, then do an ascent and 15' hang. One nice feature of the Oceanic/Pelagic hockey puck computers is that they show you a bargraph display of N2 tissue loading. As my SAC dropped, I found that I could no longer get my computer N2 bargraphs back into the green (more or less equivalent to ZHL16 GF 0.85) in a reasonable time frame. This has led me to modify my multi-level profiles.
5 minutes NDL at 80' or 100' is a reasonable margin. 5 minute NDL at 45' means that you have a very heavy N2 load and it will take a long time to get much safety margin via a safety stop at 15' on air.
Disclaimer -- The above comments are neither an attack on Aldora's large tank policy, nor criticism of Tim's profiles.