This is exactly the way I see it. People start saying things like 'cerebral' to describe things that are simply a matter of preference that may be more subconscious, and go to great lengths to rationalize it.
No doubt. Having said that, I think that every franchise like this, that appeals to people over long periods of time, must have certain characteristics, or represent some type of fantasy fulfillment, that people connect with.
With Trek, I think it's partly the cerebral side that draws people in. I mean, Spock and Data are among the most beloved characters in the franchise, right?
So... I dunno. Rejecting the idea that being a bit "cerebral" at times is part of what Trek is about, or part of its appeal, strikes me as a little silly. I think that's obviously part of its appeal.