The problem with music and instruments (and probably some other manual skills) as opposed to information learning is that pretty soon you're going to need steady practice in order to progress and not regress. Half an hour min a day on one instrument is already a fair bit to keep up (almost) every single day. Doing that for e.g. six instruments is three plus hours of intense work every day. And if any of them need your lips or fingers or facial muscles etc, that's multiple times the repetitive strain on them.
Even one physical instrument is hard on many people's physique. Not to mention wallet.
But information, improvising, ear training, theory. That kind of thing will help on all fronts. That works great.
Beginning is easy, but keeping up is hard. If you're ok with that or can cut down later, I'd say go for it. Just try not to get injured.
Basic dictator.