It could be as simple as riding styles, I suppose. At the same time, the reasons can be complex and nuanced.
But yes, the set up, as in suspension, could very well be a factor. Have you dialed in your sag yet? Do you prefer a tighter setup, or do you like it loose and comfy? (Both are relative, after all.)
I've always wondered about moto-journalists (the "pros") when reviewing m/c tires... they use terms that I can understand, but since I rarely do track days (it costs $$$, and I don't have a dedicated track bike, much less the horror of wadding up my daily rider, etc.) I always thought, "what kind of nerves do they have in their arses, that they can feel the sensations which they describe?" Or is it that these riders truly are pushing the tires to the very limits, which most (smart) street riders don't.
I have, I'm sure, at the very least a quarter-million miles on a variety of motors and a variety of tires, and while I'm an analytical personality, I don't feel the differences that the reviewers often write about, certainly not with the conviction they seem to have. I have feeling and sensation through my hands and feet, and the inner ear / equilibrium but my experiences in these matters are my own.
So it could also come down to personal preference due to a whole legion of disparate, extremely subjective criteria.
In my remarks which you quoted above, it is my "feeling" that these particular tires turn in easily, maintain lean angle without further input, are predictable, and do not oversteer or understeer. That's what I mean when I say "neutral."
It also lends to a "predicable" behavior, at least to me. They feel consistent in their feedback from the road, whether rough and patched, or smooth. I don't "push" them or the bike when I have sketchy traction, but I don't feel I need to back off a whole lot even riding in the rain, which I do regularly. Especially as it's been a much wetter summer than is usual in Alabama.
You bring up a very good observation - I am not everyone, and everyone is not just like me in all respects.
That's also why we have the back-and-forth in the periodic "what's the best tire" threads that entertain us all.
Still, after having typed all this, I feel I haven't really answered your question.