It is worth noting that both Scan Profile and Scan Precision are given in dB (decibels). Originally, I thought this might have to do with radar, since dB is used in tuning radar equipment, but it turns out that it is used the to determine the difference between input and output power.

So, the next most likely candidate is sound. Thus, your Scan Profile is the amount of noise your suit makes and its Scan Precision is its ability to hear sound and interpret its location.

So, as near as I can figure, Scan Precision is the amount of Scan Profile that you suit can accurately map at some distance (maybe Scan Range, but probably at some fraction thereof based on my experience).

This would also explain why running enlarges your Profile. You make more noise- which raises the question of whether in the future different surfaces will affect it as well, soft turf versus gravel, for instance.

However, there are definitely more complicating factors. Line-of-sight is a factor, as mapping behind cover is much more limited. I was doing the hidey dance with an Assault yesterday and he would only map out if I was near the edge of the shipping container. So clearly cover dampened his Profile, but I could still "see" around corners.