Think the obvious one is that the results are shared and whether someone is a criminal or not (or will be one in the future), people are not particularly comfortable with sharing to parties they didn't initially trust it to for the purposes they trusted it for.
Anecdotally, I bought a 23andme kit (just the genealogy one) but never submitted it because the labeling was to send it to the lab in the next town that manages the company I work for's drug screenings. Well, I don't think I have any pre-existing conditions and certainly don't do drugs, but I don't know about any unknowns on the health side that could impact my insurance if they were to share it to the company. Forget that.