As always, the applicability of the assumptions is key.

If you can go back to an earlier partner, that changes things quite a lot, right? Hey, what if you can date multiple people at once?

Also, is your judgement of a given date atomic? You meet, you immediately know how good this one is, you hit or stay?

Not sure that's how it works.

Also, what about the chance they don't want you? Does the secretary game solution allow for the other part applying the same rules?