As long as anonymity could be enforced, but I'm hesitant about the idea. Authority is building a digital panopticon with direct use of biometrics of which DNA is one of the proposed metrics. If that data is compromised, then there's no way to uncompromise it. This is why I don't think direct use of biometrics is a good idea.
Instead, in the few cases where it might be needed, biocryptics should take the place of biometrics. The difference is that biocryptics would use biometrics as an input to a hashing algorithm such as SHA256. Then if it was compromised, you'd be able to use a SALT to change the hash of the compromised identity.
Identity really isn't as necessary as everyone seems to think. It's part of the failed KYC banking paradigm that has been proven not to work.