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.

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

What do you mean by non-religious reason? What about non-Christian holidays that are school days? Is that non-religious?

Has this been decided in jurisprudence?

Please keep religious flamewar far away from this site.

https://news.ycombinator.com/newsguidelines.html

Many people wearing burqas—and perhaps most—indeed are the victims of such an ideology. But many aren’t, and so it is sensible to be clear that the burqa can be but isn't necessarily such a symbol.