My argumebt was only half about that. The other hakf was about profiling, whicb we all know would and is an issue right now.
Having a gun in and of itself, something that is a rigbt, shoukd not be able to be used to generate suspicion, which is the only real ourpose of a register.
Now if you susoect someone because of actual evidence, then you have the right, and can, search the records and lookup based on the serial number.
Its the same reason cops cant look up who is poor in order to create a list of suspects for a robbery.