I can't seem to use the Move Implementation on a property at all. I'm getting old and my memory is failing me but I'm sure that I could right click the get or set of a property and get the refactor. I know that I had to adjust the text a little but now I have nothing.
If I am just old and losing it, could this be added? My old arthritic fingers don't like to type that much anymore.
As far as I know VA has never done this. It is possible you were seeing Move Implementation to Source File being offered on class member functions instead, and are thinking this was offered on properties.