@Goldfish For this, best not think too much about build, or what they've done, but motivation.
With enough potential to be capable of learning to be a Trapsmith (able to go above level 5), the right motivation can get a person pretty far. With the type of people the Inquisition picks up,
@DragonParadox, can we assume there's enough with the right kind of cause or ambition that would catch his attention on a level roughly equivalent to generate students per month as the Scholarum teachers' calculations?
Keeping in mind the Inquisition now roughly encompasses tens of thousands of people, most of them admittedly just desk clerks and admin types, but a decent proportion doing field work, themselves generally recruited among the type of people to get caught up in the intelligence service (the right personality type) and the rarified qualities that sees them thrive in it long enough to be recruited.