It depends on the industry. Animators should be able to draw in many different styles. This is useful in graphic design as well. However, illustrators tend to specialize in one style that they become well known for.
commercially, it is a lot more viable to be a master of one. in the art world, competition is high and no matter what anyone says, excellence still sells. If you want to do many things at once, you're spreading yourself too thin. If you look around at a lot of talented, prolific artists on dA and outside, you'll see that they pretty much focus on one style/genre...or even one medium! Some people would say, 'oh yeah so-and-so's art all look the same!' but that's the point! Also, too many variations tend to confuse clients. they want to know what they're getting.
That's not to say you cannot do art in more than one styles/genre or whatever, but if you do, try to keep them separate. Like, maybe you want to be an illustrator but you want to do children's books art and pinup art...so maybe separate those into different portfolios when you send those to your clients. and put them in separate folders in your gallery.
Master of one. I want to be one, but it is difficult to focus on one topic. The ability to focus on one thing is more admirable to me because of that. It takes more effort.
well I think that kinda depends on how many trades you're pretty good at. If it's a ton that still takes quite a bit of effort, but I get what you're saying.
Well, for me, the trades I'm interested in are fashion design, Typography, Calligraphy, Animation, Illustrated Math(not sure what to call this), Music, Poetry, Animals, Caricature, etc.
I try to keep it to things that would help with comics, but even still it's easy to get carried away and take on too much at one time. Pretty much any type of art could be related to comics.