Hi William,
I like to keep things as original as possible so I leave them alone. Lot’s of American clocks have sinks on one plate only. Also many feel that oil sinks serve no useful purpose other than ease of oiling and to help keep oil from running out of the hole and down the plate. If the pivot isn’t over oiled and the proper oil is used this shouldn’t be a problem. Over oiling in either case can result in the oil running down the plate, pulling the oil on the pivot with it. My feeling is if the pivot is long enough to reach the outside of the plate or a little beyond then it’s actually better than having an oil sink.
Bob