Case in point: South Korea. It has the total fingerprint DB of every adult citizen. Has been so for decades. Doesn't really affect people's freedom except in the abstract sense of "I don't like it when the government knows too much about me" way. Didn't even stop citizens from organizing mass protests when our president was stupid enough to declare martial law last year.
There are usual suspects that pose much bigger threats to democracy: things like income inequality, failing education, social network doing its things, media colluding with mega corporations, the usual stuff. Fingerprints may make a nice Hollywood SF thriller but that's about it.