The thing is, mathematicians understand how cool and important it is, and that's enough. You can't really explain it to someone else -- it's like trying to explain how cool and important a piece of music is to a deaf person who doesn't know music. They see the conductor waving and say "well, that's boring." All you can do is explain "there is a whole world of beauty and meaning there. I'm sorry you can't experience it, but it's there."
The "Mathematics is Boring" author is a mathematician who seems really enthusiastic about math. He's not asking here for mathematicians to punch up their papers for nonmathematicians; he's asking them to give a bit better context for all the other mathematicians beyond the dozen others in the same sub-sub-subspecialty.
This Science paper's intro/abstract sets it out for scientists, rather than for biologists in whatever subspecialty this thing is.
What's the mathematician supposed to do, say "group theory is cool and important"?