Sorry if this is a stupid question, how does a noncompete gets enforced anyway? Unless you’re a person legally required to make public your job, I don’t see how any private entities can trace your work history.
A lot of sub-industries are also "where everyone knows your name" places. I used to be an IT industry analyst (a couple of the large firms in which were known--at least at the time--for being pretty hard-core on non-competes) and pretty much everyone knew what firms other people in their space worked for. You could never have gone to a different firm and had your prior employer not know.