Reel-Break, you are correct, it is 210.11(C)(3).
(3) Bathroom Branch Circuits In addition to the number of branch circuits required by other parts of this section, at least one 20-ampere branch circuit shall be provided to supply bathroom receptacle outlet(s).
This sentence does not prohibit receptacles in more than one bathroom from being supplied from the one "bathroom receptacle branch circuit"
Such circuits shall have no other outlets.
This sentence would prohibit outlets other than bathroom outlets from being supplied by the "bathroom receptacle branch circuit" or circuits if you chose to install a circuit per bathroom..
Exception: Where the 20-ampere circuit supplies a single bathroom, outlets for other equipment within the same bathroom shall be permitted to be supplied in accordance with 210.23(A)(1) and (A)(2).
This exception makes it clear that the circuit could supply receptacle outlets in more than one bathroom, but if the circuit supplies lighting outlets as well, it would be necessary to limit it to a single bathroom.