I certainly think that is an important first step, particularly for enforcement authorities to know who they regulate, just as in other industries. If you regulate banks, usually the banks are not operating in secret so that you wouldn't know they're subject to these regulations.
As Mr. Israel mentioned, there is a movement of having data brokers register, but it wouldn't necessarily capture companies that sell facial recognition or other algorithmic tools. Requiring that kind of transparency on a product that you sell would allow for a private right of action, private enforcement of violations of laws or regulation, or for regulators to know who to be monitoring.