Not bursitis, but arthritis. Real bad in my left elbow and moderately bad in my right elbow. I have lost full movement in both elbows, more in the left than the right. Neither arm comes any where close to opening straight any more. The left elbow is always swollen and hot to the touch a lot of the time.
With that said, the left one is the one that causes pain while riding. I have to take the left arm off the grip and rotate it around every couple of miles. I believe it is actually better since I started riding, rather than worse. My rheumatologist had cautioned me against too much physical work with the left elbow out of concern for making it worse. I could not just sit still and watch the elbow go downhill more without trying something.