i have kind of the same story as @Solomon-Designs i wanted to be an illustrator and studied graphic and communication and how i understand @Solomon-Designs is, that its reeeally NOT the same. And it isn't
I gratuated and didn't get a job i was always to illustrativ in every graphic design thing i did...it changed over the years though. I know my craft and what i'm capable of.
i would say im perfectly capable of making nice looking corporate identitys or flyers or whatever someone need. But it never was, what i wanted to do, i didn't know that back then, because i didn't know what i really wanted.
You just can't compare illustrators and graphic design in my opinion. its just two different fields.
That beeing said. a lot of illustrators have still a good eye for stuff like that because we are trained to have an eye for the details and composition and stuff.
It's just easy to say, if you are creative and you can draw, graphic design must also be something you can do, but i think its not that easy at the end.
Also here in Germany, it's a really competitive field. we have more than enough graphic designers. if you are reeeeally good at your job you can earn thousands of euros, if not you will be the guy photoshopping the cataloge pictures for a clothes brand. And yes in my opinion you should study it if you want to work as an Graphic designer.
Everything i learned about any program or any font, anything i learned was worth it. In the end I just didn't want to be a graphic designer.