That notice is from New York City, not New York State.
The 5 round maximum has nothing to do with the NYS unSafe Act. That was the ridiclous law in New York City prior to Emperor Cuomo’s unSafe Act. Outside of NYC you can have big, scary 10 round magazines (up from 7 rounds in the original version of the unSafe Act) but can only load 7 rounds, except at a shooting range.
Henry sells 5 round magazines (standard is 8 rounds) for the AR-7, so the gun owner who received that notice should be able to make it NYC legal, if it is not already.
From what I can tell the Marlin 25N comes with a 7 round mag, which is no good in NYC. Pretty ridiculous that a much higher powered semi-auto with a 5 round mag (like a Mini-14 Ranch Rifle) is legal, but a 22 bolt action that holds 7 is not.
I just copied & pasted the headline, should have read it more closely.