Originally Posted by YMCA
Greatest quote in cycling. "Why stand when you can sit? Why sit when you can lie down".
Bike racing is about recovery and SUPPLE muscles. No top level racer would be found standing around for too long, let alone jogging.
That said, unless you are a budding Pro, I wouldn't much worry about a few 4 mile runs each week. They'll probably actually help you from getting stale from riding all the time.
This post gets right at the heart of the matter. To be a good cyclist (from a racer's perspective) you are either riding or recovering. So the answer to The Rockets original question depends on goals.