You could generalize this question as "Is it better to pick from a large selection of unknown quantities, or from a smaller (or even singular) set of semi-known quantities?"
And the answer would still be "It Depends".
No doubt, women tend to have selection priority in dating throughout the Western World. But that also means they tend to have a bigger filtering issue based on their own wants from dating… Men tend to rate looks as more important in surveys, so if women are less concerned with appearance, it becomes much harder to know who would be the preferred date among a pool of men, without starting to, you know, actually date them.
Simply put, men seem to have more trouble getting dates, and women struggle with finding the right date. Which is the preferable predicament is going to be a matter of personal preference, based on one's inherent and developed levels of patience and persistence.