I don't think T could alter the texture of the hair that had already grown out of your head prior to your first shot (which, at 2 weeks, would be almost all of your hair unless you had a buzz cut). But if your hair is losing body, and you haven't done anything to it environment-wise or chemical-wise (moving to a more humid area or using a new hair care product) that might change the moisture retention, that's pretty much the same thing as it's thinning. From what you know of your family, are you genetically inclined to hair loss (DHT-sensitivity)?
I have heard a few other guys saying the texture of their hair changed, but since I didn't follow up to see if it wound up that they were actually losing hair (which would certainly change the texture/body), I don't know for sure one way or another.