Earlier quoted context omitted.
>but probabilistically the strategy is optimal. For what value function? It is basically never the case that my value function is "all choices other than the optimal are equally bad" -- which is what this rule is based on. As a personal opinion, this drives me up the wall. There is a great problem here, and there is a whole area (several of them, actually!) of applied math dedicated to it (Statistical Decision Theory…
I'm confused, isn't this literally one of the founding problems to "Statistical Decision Theory"? That is, this may be a simplified version of the problem, but it is a legit problem from that field. And the results being presented here don't disagree with the legit problem, do they? Now, is it a simplification of a simplification? Sure. I'm not clear on why it is as bad as you are putting forth, though.
Don't get me wrong, I love algorithms, CS and math and very much liked learning the secretary problem and solution. I just wouldn't think of it as practically useful.