If a newspaper can get it, anyone should be able to get it.
No one should be able to get such a list. First, government should protect private data better. Far more important though, there should not be a requirement for a permit to exercise a basic human right, and there should be no government data on who owns firearms. We have far too much government, and our highest priority should be to scale back federal, state, and local governments. [Note to the NSA monitor - your metadata will verify that I am a life NRA member browsing the NRA website at this moment, but you should not have any data on my internet activity or my telephone activity, not without a specific search warrant. Generic warrants are unconstitutional.]