Motorcycle Consumer News has interesting articles every month. It also has list of motorcycle recalls..HD, Kawasaki, BMW, Indian and what not.
Coming to the title. It can happen to an RE or any other motorcycle. Bike runs fine at idle, fine at low speeds, but as the throttle is opened past a certain point, engine loses power, misses and struggles to speed up.
Interesting that even BMW dealers struggle to resolve it, using shotgun approach of replace this or replace that.
The general approach to find the cause and steps taken to remedy the problem are the same as reported in this article, irrespective of the brand of motorcycle, here is thought for the day attached as pdf file.