That's not correct, and it's not a rule. The Warwick Wildcats play out of Bucks Ice and Winter Sports. The Lehigh Valley Phantoms Youth play out of Steel Ice Center and Bethlehem Municipal Ice Rink. Delco Phantoms have played out of both The Pond in Delaware and Quad Rinks. Those are a few teams I can think off off the top of my head.
And another, the Hershey Jr bears play in 4 different rinks.