Assuming planning the dives with our computers was wrong, what was the right way to do the second (or even the first) dive?
I find this no computers for no-deco diving quite interesting. I to have never seen, heard or read a convincing argument for it.
IMO, the real reasons for not using a computer are (in order):
a) for deco diving, because it encourages people not to plan gas consumption.
b) The algorhythms are not really right for doing deco dives with
c) most do not allow for multiple gasses (that is changing though), which is really a deco thing.
With PADI (and I would assume similar for most agencies) you are taught to turn the dive on the first of these events:
a) you have 100bar (or some other reserve) of gas
b) come close to your NDLs.
You do not have to account for the gas needed for deco as you do not have a deco obligation so the minimal gas planning works fine.
The only time it does not work (baring equipment failure) is when someone doesn't check gauges, overstays NDL etc. Not having a computer does not help in any way in this circumstance.
Nobody will every stop me using a computer on no-deco dives. Yes, I do dive with out one on non-deco dives on occasion and am by no means scared of doing it or could not cope etc.