Bob,
But if it is an old house with a two wire feed to the fridge I would think that using a GFCI here would increase the level of safety in a meaningful way, with no equipment ground at the refrigerator there should be no false tripping.
Use of a refrigerator in a dwelling unit on a two wire circuit is a violation of 250.114(3)(a). There is no execption that permits a two wire GFCI protected circuit to serve the refrigerator.
Don
