where as in AV, you could have 71% not represented by their first choice, but by someone they rated 2nd or 3rd. not that different is it?
With AV you are guaranteed that, compared to any other individual candidate, the majority would prefer the winner.
In the example given, it's entirely possible that 1-v-1, 71% would prefer the candidate who came second to s/he who won, it's just there were so many candidates the first pref's were spread out.
In the example from earlier - as has happened in council elections - BNP 35%, Tory/Lab/Lib all 20-30% = 65% of the population would prefer anyone but BNP elected, however the BNP does win. All three would rather one of their "traditional" rivals won than the BNP, but the fact that there are three "main" parties means the winner slips through the net.