Scott, I only know 2 NY guys who are making commercial NY slice pies here in the Austin area, and both are very specific (because you can bet I quizzed them) that they cook on deck ovens with stones at 550-575 for 6 +/- minutes on their 20" pizza. And I have watched them both do it. Is your 4 minutes a number to shoot for in a home oven?
Edit-and if it makes a difference, both are "re-heaters".
Tom, there are a handful of criteria that rigidly arbitrate NY Style and there are qualitative criteria that, in most New Yorker's opinions, define great
NY Style. A deck oven (in a commercial setting) is one of the mandatory criteria. Conveyors are an aberration and have no place in real pizzerias. Beyond deck ovens, NY style dough is never punched down. White (bleached or unbleached) flour. Tempering (allowing dough to warm from the fridge) is also a must. Some of these rigid criteria have ranges. Above 3% oil- definitely NOT NY style. More than 2% salt- outside the parameters. More than an 8 minute bake- no.
Now, within that 3-8 bake minute realm, there's definitely qualitative decisions to be made. I wouldn't walk into a pizzeria baking 6 minute pies and tell them that what they're making isn't NY style, but I might say 'hey, have you ever tried a 5 minute bake?' 4-5 minutes isn't going to be as golden brown and delicious as 7-8 (without a lot of added sugar), but authentic NY style pizza isn't GBD. It's somewhere between the leoparding of Neapolitan and GBD of 7+ pies.
A 4 minute bake produces something with tremendous oven spring and a beautiful crumb, with, depending on the hydration, usually a non crisp, puffy chewy crust. That's the holy grail of NY style (imo). Even if someone has a palette that's more geared toward crispy and/or GBD, anyone that loves NY style pizza should have a home oven setup that can pump out a 4 minute pie- to try at least once. A lot of people raised on chain and frozen pizza can't handle the char and moisture of Neapolitan bake times, but I think the majority of Americans, when presented with a 4 minute pie and a 6 minute one, will prefer the 4 minute. If the group of people being polled are NYers, the numbers go even higher.