I just submitted my DNA for testing, and was more than happy to do so.
I believe, that for me knowing MY genetic predispositions about certain diseases AND do something about it (even paying a premium for insurance) far outweighs the privacy concerns while you slowly die without targeted medical/lifestyle interventions.
Also, I would be glad if an insurance existed that was based on keeping certain metabolic/blood markers in a healthy range.
which translates to a decrease of 30-75-ish % of chance of death by cardiovascular/neurodegenerative/cancer.