I'm glad to hear your bursitis is better with no sugar. I also have it and have been a high raw foodist for over a year now. I eat raw during the day and sometimes have something cooked with my evening salad.
I'm still not sure what makes my bursitis act up, but I don't eat any sugar, artificual sweetners (because I see anything proccessed as poison), wheat products, dairy, or processed drinks and food.
I hope someone who comes to this forum will be able to give some insight on natural theropy for bursitus. I'm hoping when my body becomes the proper pH balance that will help.
Good luck and keep us informed or any discoveries you make.