But it doesn't work if you resign first! Have a look here, mourn for Bacrot, and learn some lessons - about opposite-colored bishops, of course, but also that you shouldn't resign until you're sure your opponent knows how to win in the final position.
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everyone seems to be missing the point here. as Yermo has pointed out, white has the plan of running the king to b7. it's not the "win" that was difficult to find, it was the method of drawing. If you see white's plan of K to b7 and see no way of stopping it, resigning is not so foolish. There would be much less fuss if Bacrot allowed Kb7 and resigned.
And no, Bacrot did not lose on time and the final position was correct.
It's possible that he calculated everything out and failed to realize that forcing f6 made the draw trivial; if that's what happened, then he just had a bad day. The moral still holds, though, even if it doesn't apply to Bacrot's situation.
Finally, I think you're absolutely right that if he had played on and lost to some line with Kb7, there would have been much less ado; but I also think that if he played on, the chances of that hypothetical arising would have been next to nothing.