In respect to the traditions of golf, wearing shorts is rather nontraditional. Loaded with common sense but not very traditional. But that said tradition is a very nebulous word. New traditions, old traditions, even traditions which don't even exist.
One of the companies I helped start quite a few years back had a birthday cake for one of the secretaries. One of the partners very sincerely told her it was our tradition to have a birthday cake for every employee. We had only been opened a month.
Clothing like language continues to evolve. Strict office attire has changed to business casual, and now to a textile free for all. People used to wear ties to play golf. In college in the 60's you didn't wear shorts to class. I don't think there was a rule every one was too busy "tie dying" jeans. Everything changes just be prepared to change too. Because if Bill Gates buys your club and walks out to the first tee wearing jeans guess what?