And really, from a Many-Worlds quantum physics perspective, any single person is actually the amalgam of all their different versions in parallel timelines. Alternate versions of the same person aren't actually separate entities, just non-interacting, superposed quantum states of the same being, like the way a subatomic particle can be in two or more quantum states at the same time. (Well, the individual particles making up a person would be replaced over time, so I'm simplifying.) So Q probably perceives all the alternate iterations of Jean-Luc Picard as facets of the same greater Picard. And different eigenstates of that ur-Picard no doubt get collapsed out of existence all the time, like the "Yesterday's Enterprise" Picard or all the time-looped Picards in "Time Squared" and "Cause and Effect." So Q wouldn't have any particular reason to favor any one Picard-state over the others.