I think I know myself pretty well, better than most, and this allows me to make a pretty good guess about the way I would react. I think that if I were to answer wrongly to the Ash experiments, I would do so because of what is described in the Wikipedia entry as "distortion of judgment". This stems mostly from my view of the world and my belief that human observation, without aiding tools and methods of quantification, can be very unreliable. That applies for me as well, leading to poor confidence in my direct observation.
Thankfully, creating new ideas or solutions has several steps, observation being just one of them, another being the processing of the stimuli into the final idea. This, I consider, is where I am far better than the observation stage. Given a set of observations I arrive at a pretty complex solution and/or idea, and this is where most of my deviation from the norm usually stems. But I am aware of the possibility of mistaken input data of vicing this process, and forming the wrong conclusion because of it.
Anyways, sorry if I came of a bit arrogant, this was more of an introspection exercise and me musing and a little bit over-generalizing about the way people think.
By its nature, it's hard to notice this in yourself. I like to think of myself as capable of independent thought. But when I've been solo camping for a few days, some of my perspective evaporates on contact with others, like a dream on waking. It's hard to even notice it leaving. I imagine they leave imperceptibly in daily life.