To some extent,
everyone is "woolly headed" as you put it (did you mean
holly headed?). While it's not a good reason to limit artistic endeavours to one-dimensional characters, it
is a good reason to pay a little attention to it. I mean, a story full of weak cute girls whose sole purpose is to be saved by strong, muscular, male heroes does kinda sends the wrong message. I mean, girls often can and should defend themselves. Let's not teach them otherwise.
On the other hand, the fact that we tend to see correlations everywhere also mean we should be more forgiving when one happen to irk us. For instance, I once noticed in a season of 24 that "proprietary" was mentioned twice as an excuse for being harder to crack. The Stalman in me translated that by "proprietary -> better", and wondered if there was some kind of agenda behind that. Then, in season 8, I noticed that "proprietary" was used as an excuse for being harder to get used to. Which gives "proprietary -> worse". So much for the agenda. (By the way, 24 features much stronger and much more objectionable correlations. Noticed how human rights stop where Jack Bauer begins? —though again, season 8 doesn't seem to endorse torture any more.)