Coincidence? Not in my experience. At a school where 2/3 of the students had music lessons, I noted improved learning of physics by students who had just had a violin lesson (whatever their ability). The effect was not clear with any other instrument (including voice), but there may have been an effect from piano and cello.
Hotwiring vehicles (your own, of course!) - a good way to teach electrical circuits. After word got back to parents, despite my protestations, I was told I would not be allowed to use that example next year. Come Speech Day, the Speech was from an Old Girl who had spent a long time in Rock Management. She related the tale of her saving a Bob Marley concert by hotwiring a truck. At the Lunch I approached the Headmistress. She greeted me with "OK, OK, you can teach it!"