Yes, learning to code is important in the same way that literacy (learning to read) and numeracy (learning to use numbers) equip you mentally with methods to communicate ideas, model problems, and find solutions you don't already know.
In precisely the same way, code is a higher form of literacy where you can learn to write with language and math together, and even the very language you write in can be mutated and the rules changed as you go along.
The computer is the first meta-medium we have ever had as humans, and the art we can create with it is beyond what we can do with any other form of media.
The key is to use the computer as an extension of your own brain, instead of using software! Just in the same way as eating fast food is not the same as the act of cooking a dinner, there's a huge difference between using software written by others and writing your own code. You need to find a way to express the problem in your mind in a language humans and machines can understand, and then the machine can be used as extra brainpower for you.
As long as you are using software written by somebody else, you're borrowing and using somebody else's ideas.
So yes, I would strongly urge all people to get code literate - just like there's no industry where it would be advantageous to be illiterate, there's no industry where being code illiterate will give you a boost, especially as more of your peers find themselves able to harness the power of a computer to help solve their problems.
Or, to put it another way: The computer revolution hasn't happened yet - it happens in individuals the moment they become enlightened to how they can use a computer to solve their own problems. The computer revolution is ongoing, converting people one at a time, and it brings hope and power to those who have gone through the it because it equips them with more tools to navigate their world.
Has the computer revolution happened to you?
EDIT: I went to school for graphic design, and don't come from a computer science background at all, but based on my experience I would urge all of you to get code literate! A whole new world of hope and possibilities awaits you :)