It doesn't explicitly say that, and the Supreme Court hasn't ruled that it says that.
The Supreme Court also said abortion is a Constitutional right. Doesn't mean I agree with them or take their action, or lack thereof, as validation of my positions.
And one other thing.
As long as Rudy was just mayor of NYC, his gun-confiscation tendencies (and I think we can agree on those) only affected those in that city. If I lived in NYC, I could either not move there, or move away if I lived there and disagreed.
But if Rudy becomes President, he affects the right to bear arms of the entire country. I would have nowhere to move within the country if I disagreed with his gun-control actions. He has spoken forcefully for a so-called assault weapons ban. He has called for stringent handgun restrictions. He worked to take legal guns away from NYC permit holders who never had their guns taken away by Koch and Dinkens.
So why should we trust him to sit in the Oval Office, pen at the ready, if a Dem-controlled Congress sends him a bill severely restricting handgun ownership or state concealed-carry laws?
Therefore, Rudy's gun control views require scrutiny an order of magnitude above that required for a mayor of a large city.