As they say in Detroit, your mileage may vary.
I have had Parkinson’s symptoms since 2007 and was diagnosed in 2010 with Parkinson’s disease at stage 2. But in July of 2011 my UPDRS rating was 3 out of 160, an excellent rating. Since diagnosis I have biked daily on a stationary bike for nearly an hour and, except for warm up and cool down (beginning and ending 5 minutes), bike at a cadence of between 90 and 110 RPM (depending on how I feel on the bike). I feel great!
So while I don’t know what will work for you, if your doc says you are sufficiently fit for the exercise, go for it!