No problemo.
I liked Tallulah's comments too. I can be very playful; other times I seem more business; I go into "assess/eval" mode if you want to understand my reasoning; and generally I try to keep a connection with people even if underneath it I still have some detachment. (My natural self as a teen was to sit quietly in a room, observe everyone without saying a word, and figure out "who they were" and sometimes my inner conclusions were very critical/scathing, due to inconsistencies in personality.)
You're going to see a spectrum of behavior across a "type" just like with every type. The more Ti+Si style INTP women are going to be more autonomous, snarkier/critical, and keep a distance between themselves and others; the more Ne (or Fe) style INTP women are going to be more social and seem less critical in casual encounters.
Spending time with someone IRL will probably give you a better picture of the true self.
That makes sense. Getting older and accumulating social experiences (and allowing oneself to change and grow) will result in some tempering and expansion of personality. We all get more well-rounded, if we allow it to happen.
I can understand what you are saying and like to give people room to be themselves. I've also had enough experience with persistent people of many types to realize that, while my immediate strategic assess of a situation might be technically accurate, it's pretty amazing to see what can actually be accomplished through brute force and persistence and commitment to the goal, so I have learned not to dismiss it.
heh... it wasn't much fun.
But I enjoy it now.

<- I even know how to use smilies!
Growth is hard -- it's not just that you're changing, it's that you're leaving behind your old sense of identity ("I'm a rational analytical detached observer") and reborn in a sense ("I'm a rational analytical detached observer who engages others, feels things, and can respect and appreciate useful social conventions") and there's no proof that the new self is the "right one," you just engage the process on intuition and faith that you are going to a better place.
ROFL.
Where's the boom?! There was supposed to be an earthshattering kaboom!
... oh, THERE it is.