If you're willing to hand over your biological fingerprints to anybody, you may as well walk into your local police station and admit to a murder you haven't committed. Even if 99.99% of people submitting their DNA for analysis never see any negative consequences, the other 0.01% are going to have their lives ruined because of some supposed family association to a criminal. These days, suspicion is equal to guilt beyond a doubt. If one out a million people are falsely chased down based on something like DNA, that is one person too many.
The possibility that you have some horrible abnormality that can be detected via DNA testing is so astronomically low. Stop thinking about the interesting science behind what you can learn about your body. Instead, be very concerned about the fact that there are people out there interested in nothing other than having power over others. Nobody should be submitting themselves to this horrendous risk.
I cannot imagine how someone would even consider submitting themselves to such a process. I took a season pass to my local amusement park; they strongly suggest you provide your thumbprint instead of taking a photo for your ID. It's insane. Obviously the police or state government can force this park with hundreds of thousands of fingerprints to submit to database searches. Who the hell offers to provide their fingerprints to an amusement park, in order to save the 5 minutes of inconvenience required to go have your photo taken? "Stupid sheep" is the only phrase that comes to mind.