Will it make difference if I say that learning music composition is not a quick thing to learn? Or that as a proposition for earning money it is far from certain? Arts is under funded pretty well no matter where you are, and much of the earning potential has disappeared with the massive rise in illegal music downloads well nigh killed the recording industry. So many full time pro musicians from many genres, jazz, blues, classical, rock, pop all ended up leaving music as a full time career and going back to being semi- pro or giving up completely as a professional. Very sad.
True there are opportunities, but less of them and more competition per opportunity.
Should you study music?
Yes if you are passionate about learning music because it is in your blood
Yes if you are prepared to put in the time and effort for as long as it takes to learn and if you realise you will always be learning.
No if you are looking for a quick buck
No if you are looking for steady employment
No if you can't be bothered learning an instrument (skill apart it takes almost as long to learn the theory and digest it, and an instrument gives you a critical point of reference