Yes they are protected now in NY, wasn't always so, but nobody knew.
We have a LOT, they don't migrate, and the non breeders flock up by the hundreds in some places. During breeding season the males get jumpy, but those are false charges to get you to leave, nothing to be afraid of. I've caught them by hand a lot of times, a seagull will get you faster with their beak.
They CAN taste good, depends on what they're eating, the salt water swans eating cabbage, ..not so much.
The breast meat is dark and grainy like a London Broil. They are mostly wings and neck, and are surprisingly light, but again, depends on the groceries.
I know of a nuisance cull locally, FWS, and DEC are whacking them at night at a certain refuge, though they probably will deny it, but I know the shooter.