Barry
I have a thought.
If you are brave, once the revs start dropping, pull your spark plug leads one at a time which will at least tell you if both cylinders are involved of if it is only one.
If there is a dramatic difference I would take a long hard look at the idle circuit of the offending carb, but, if your R65 is a twin coil model - swap the coils and see if the problem "moves" first.
If the fault doesn't move, there is nothing wrong with your coils and if there is nothing in the idle circuit then your problem is with the trigger mechanism, or just maybe an air leak at the intake trumpets. The one minute to onset may be instructive in that is about the time it would take a cold intake side of a head to heat soak when stationary, but that is a very long shot, I will go with wither a crook coil, a crokk idle circuit in one carb or a crook trigger unit.