Perhaps so but there’s no legal protection when wearing such clothing for non-religious reasons, as would clearly be the case here.

Not everyone uses burqas, and trying to argue for religious freedom when you're using headwear in bad faith is not a particularly good idea.

So?

New York's MO is "screw over people now and settle out of court in 10yr if you think the precedent isn't gonna go your way."

A lawsuit or twenty won't stop them. It's not their money.