Absolutely not. And if you have found your poor, miserable self stuck with a 4001, I pity you. In fact, just to be nice, I'll trade you a Fender for it!
I own a 4001 Rick since 1979. I started on a Kingstone Fender Precision knockoff… was saving my paper route money for a new real Fender. In 1979 Rush came to our school to talk to 5 English classes - buddy of mine knew the road manager and hot damn there I was a little punk talking to Geddy Lee one on one. I asked him why he only used his Fender on their encores and playing a Rickenbacker through most of their sets. He told me the Rickenbacker just felt better and loved the sound. That's when I bought my Rick. Thirty-four years later I am still playing it… nothing smoother. Sounds Great!