Yes, generalizations are necessary and useful. Yet, their proper targets are objective physical things in the universe. Even these might be problematic in some sense. My dog was terrified of my dryer, because it had a loud buzzer. I left it running and left the house, and because it had some magic fluff cycle to keep your clothes from getting wrinkled, it would turn on every so often for a few minutes and then buzz loudly once again. I only realized all this was happening after she had been buzzed many times while I was off at work one day. I managed to turn off the buzzer, but never to turn off her fear of the dryer. (Poor little Mercks-my dog)
However, when I got a new dryer, she was unafraid. Why? She did not have the category of 'dryer' in her little brain, and therefore did not attribute features of the old dryer to the new one. In the same way, we might be relieved of some of our anxieties if we were not so quick to categorize. When it comes to math, science and such, however, the categories seem to benefit us much more than they might ever hurt us.
When we map categories onto people, though, we're bound to be wrong and thus unfair to them much of the time. We can't say we have human rights unless we all have them. We justify all sorts of cruelty and discrimination when we project our desires onto others and judge them or punish them for being different from us (rather, our idealized version of ourselves that we think we are or pretend to be). Lots of useful idiots or brown shirts are led along by narratives by nasty people who want power at the expense of justice. Those narratives often outlive their creators, as in the case of racism. These are the kinds of narratives I was after here, not about categorizing something as a washing machine or dryer.
This does seem to relate back to that pesky topic of the hard problem of consciousness. We simply can't get a real handle on what it is like to be my dog, or a bat, or Mary who never saw colors, etc. Neither does it make sense to say that consciousness is epiphenomenal. The philosophical zombie would do just as well at being me as I have (which is not much of an accomplishment, I would say) without the sometimes torturous experience of experience that I experience. So why bother having the experience?
Perhaps paradox is not a perfect term for the problem, but I think it boils down to something much the same. If I travel half the distance to the fridge, then half the remaining distance, and so on, and each halfway trip takes some small amount of time, then I will starve before reaching the fridge, as there are an infinite amount of half trips along the way. Diogenes faced the distance paradox and his solution was to get up and walk out of the room, demonstrating that motion is in fact possible. He couldn't 'prove' it, but he had a solution and a sort of proof without showing his work.
I feel the same about free will. We can't take any objective system of reduction, purposely designed to look beyond my perceptions and yours to something that would be still be true without us being here, like science, and describe accurately what it is like to be me or you. Therefore, I can make the choice to walk to the fridge and arrive on time, and dispatch the distance paradox and the free will problem together at once. Motion is possible because I can do it. Free will is possible because I experience it.
I hope we don't end up hijacking the thread for another discussion of free will, unless there is something truly new to add (not that I managed to add anything new myself). I only brought it up for the fact that it might be called a narrative, and that I might be accused of clinging to it in the face of evidence (though I don't take correlation for proof that consciousness is physical, or that my choices or opinions were stuck in place at the big bang).
I should add that I don't think free will means total disconnection from the past or the influence of the outside world. I think it means just what it is in my experience of it. I can form opinions (foolish narratives or well founded ones) and try to act upon them as I see fit. I will often be prevented from achieving my goals because my influence on the outside world is very limited. If I confine my desires and aversions to those things in my control, I can have a smooth ride most of the time, as if I am going down the river in a tube. If I choose to swing upstream, I'll have a rough time most of the time, but I could make that choice, too.