In my opinion, saying that style isn't important is like saying that spelling isn't important. If your style (or lack of style) is causing readability issues, then it will be difficult for a team to work with the files that this person is writing/editing.
Similarly, if a programmer doesn't take the time to spell words correctly in comment blocks, function names, etc....it will cause issues with other developers trying to decipher code. I always ask myself, "self, if you look at this in 1 week, will you understand it? If you look at it next year, will you still understand it?" (or at least be able to read documentation/comments to jog your memory).
To me, style is not important when you are talking about putting the curly brace on the next line of your if-block versus putting it at the end of the conditional statement...as long as it meets your coding standards, is internally consistent, and the rest of the team uses the same approach; with that being said, I feel that style is extremely important if it impacts the readability of the code.
With MS being such a large company, they probably are looking for someone who can be a problem solver as well as a team player. Someone who states that they "don't have time for styling" would come across as not a team player, to me.
Nice question!