Such a bill, if passed, is another stepping stone for gun control. IMO their long term tactics are as follows.
1) Initially a subjective evaluation from a physician would be required to green stamp CCW approval.
2) Then it very well may progress in the future to the next step where the CCW carrier would be required to have a full psychiatric exam to be green stamped for approval.
3) Possibly it could morph into a scenario where one would have to face a panel consisting of for example a LEO, Psychiatrist, Family Medical Doctor, MDA member (mom's demand action) where anyone of these people could deny you a CCW permit.
The agenda of such a law is to force a selective "may issue" CCW all behind a medical mask.