Police should be given full access to the latest technology. The criminals will have the latest tech. DNA, face recognition, speech recognition, big data, ML, AI, whatever comes next. However just like with guns and wiretaps, there should be laws controlling the appropriate use of these powerful tools to avoid becoming Big Brother.
Yes, the laws should move at the pace of technical capabilities. That's the big takeaway here. Not asking the cops to live in the '70s technologically, which is often the (effective) ask from privacy groups.
Privacy groups and the NRA. The system for tracking gun sales is kept on paper records by law; too much fear that digitizing the dataset would be tantamount to a "national registry of gun owners," which is in the set of irrational American fears alongside "National ID cards."