In response to the question asked, my experience says 'yes' it has benefitted my 'education/life experience' as a whole.
Learning cello has been one of the most challenging things I've ever done. I started for a few reasons but one was the result of a discussion with someone at work who said 'it's quite liberating doing something that you're rubbish at'. The general idea being that it's unhealthy to only do things you're good at and then ruining it trying to be as good as you can be etc.
So I had a shot at music, something I knew nothing about beforehand.
What have i learned and how has it benefitted me? Much of it is rather reflective but take your pick from any of the following:
-it's seriously difficult, easily the most difficult thing I've ever done. I've gone from 'how fast to G8' to playing a single note over and over again looking for something deep within the sound that tells me my bow weight, locus on string, etc is right. To do something well requires serious dedication and an ability to break down very complex physical tasks into smaller manageable tasks and then building up. Much like other sports that I do and also how I teach those sports to others. I learned this from learning cello.
-in fact it's so difficult, there is no destination, you are left with the journey and some nice pit stops on the way. You'll never get to the end because it's like a fractal: the deeper you go, the complexity remains. It doesn't matter how good I get it, my teacher just raises the bar a little, ad infinitum. Practically everything else is like this. There is a bar of acceptability, e.g. driving, or passing a flying exam (bizarrely only 75%) and then there's quality performance which is light years beyond. You need to know what you're aiming for before you can ever decide how you're going to get there and also to know when you're there.
-You've got to listen to others if you're going to make a great end result. Admittedly, work meetings are far removed from quartet sessions but you know what I mean. Everyone has their say, in music and in life.
-Music is everywhere, bigger than everything else combined and then multiplied by a billion and if you get it right, you have the power to change people's state of mind. Drugs will do that too but doing with a horse tail and wooden box with metal strings is really cool..
-Your brain works in a way that is completely different to anything else. Your thinking about what you sound like, what sound you are supposed to make next, before you make it, what sound someone else is making, when they make it and how do you engage with them to make it beautiful, while also thinking about your right forefinger, your wrist, your posture, your tension in your neck, your left arm, your left foot, et, etc, etc, etc. all at the same time! What else does that?? Probably why musicians are mentally healthier for longer.
-there are so many noises you can make with a cello. You can tap the wood (yuch), bounce the string, draw the string slowly/quickly across its full length or for 2mm, depending on what you want to express. There's so much you can do with one thing.
-and there are so many ways of making the same sound. A trip around the music museum in Paris the other day looking at all the different receptacles with a string stretched across it all to make a noise. And there are so many ways of making the same thing.
-and there's the occasional reward when it sounds really fabulous!
IMHO you've stumbled across a truly massive subject and a million different answers! Enjoy.