Yes, traits can propagate even if there is no selective pressure for them. But they won't reach 100% of the species, even less so 100% of several geographically separated species (such as African and European bees) just because they aren't that bad. Could we contrive a story where it could be possible something like this does happen? Sure, but it would be very unlikely (basically, it would require only a small population that happened to have this minor handicap to have randomly survived some mass extinction event that killed off the entirety of the rest of the species).