I don't think hand motions has to do with Ti nor Te, I think the very essence of it lies within the subconscious mechanisms of our behaviour. First of all: when I'm asking something, despite having heavy Te -- my palms are upturned and the movements are not direct, in fact; they seem very sloppy and lazy. This indicates submission, curiousity and open mindedness -- imagine how it'd look like if you asked a question with directive hand motions.
You'll also notice, (Tony Robbins, good example) that when you attempt to explain something you've gone through many times, your movements will be more directive and pinpointed; the palms are usually downturned indicating assertiveness. Also, many of you might notice this while trying to explain something complex in a simplistic way - you attempt to divide areas of space in order for the person to have the same mental imagery as you.
By doing this subconsciously, you are actually intuiting (this usually goes along with random eye movements -- an activation of large parts of your brain); this means you have less control over your sensing (the 5 senses) -- hence, hand motions are more deliberate when used by sensors.
I made this all up during shower, this's what my Ni tells me.
ADD: all the Ni doms I've met experience the "zone-out", this's when we get "in the zone". We gaze over objects; associated with random eye movements, become completely unattentive to our surroundings, stoned multiple times, detatchement, crack, pot.
I sound like a freaking INFJ.