Terns with Orange Beaks
Yep, it would and they would. If those birds are there, then the twitcher-forums in Florida must be lit-up.
33 cm... that's more than 10 inches, though, right? While it is hard to estimate sizes, I'm expecting Phoenix has a good eye.
I just can't see those birds you posted Phoenix as anything but terns. They could also be Least Terns (8-10 inches), but in the photo anyway, the beaks looked so orange. Least Terns would also be good for a lifelist... they're on the endangered species list.
Here's one...