Nope, bottle feeding is not allowed pool side, either, according to this: http://thelactivist.blogspot.com/2006/01/ann-arbor-woman-told-to-stop.ht...

Kelly Fuks could have breastfed her infant anywhere in public in the Y with the exception of the pool area but she said, it was too much trouble for her to pack up her children when the baby gets hungry.