Joue au golf vs. joue du golf?

There are two lessons on this:

https://french.kwiziq.com/revision/grammar/jouer-de-to-play-an-instrument

https://french.kwiziq.com/revision/grammar/faire-de-jouer-a-how-to-talk-about-leisure-activities

i think what is missing is the rule that sports played with a ball use jouer a, a la, au, aux.  Sports without a ball use faire de , de la, du, des.   And musical instruments use jouer de.   

Here is one of several other resources I found explaining this 

https://www.slideshare.net/mobile/MoniqueMoore7/faire-vs-jouer