The key word in that sentence is "identical model or equivalent model". What you're doing is replacing it with an identical board which falls under the former portion of that clause. Go ahead, you're in the clear.
The spirit of that sentence is to prevent you from moving a license from say a Nehalem machine to a Haswell machine. The "equivalent model" clause leaves a bit to interpretation. My view on that statement is, if the socket is the same, it's fair game.