You are correct that there may be a number of receptacle outlets on the Laundry circuit.
Section 210.11 ...In addition, branch circuits shall be provided for specific loads not covered by 220.10 where required elsewhere in this Code and for dwelling unit loads as specified in 210.11(C)
210.11(C) (2) Laundry Branch Circuit...shall be provided to supply the laundry receptacle outlet(s)...
However, unless the refrigerater is part of the load calculations used for the laundry circuit it does not belong on the Laundry circuit.
In my opinion laundry equipment may include washing machines, iron, presses, steamers, 120 volt dryers, etc.
Alan--