Name 1 Republican who would vote for either Hagel or Bloomberg. They are both RINOs and more likely to take votes from the Democrat nominee than the Republican.
I didn’t say Republicans (though some RINOs might), I said Independents.... if ‘Rat voters stick together (and they almost always do), then any Republican nominee will need to win more of the Independent vote than the ‘Rat nominee does, and that is where a Bloomberg/Hagel ticket might hurt, even if they only get a few percent in a close election.