Far fewer speakers are really time-aligned than you might think. For example, the Wilson Sophia has a slanted baffle, but one look at the Stereophile review's impulse response tells you that it is not even close to being aligned in either time or phase! Speakers that really come close are the Dunlavys, Meadowlarks, Thiels, and Vandersteens. The impulse response is extremely easy to measure and tells you almost everything you need to know.
And yes, it is very important, it is the difference between merely a good-sounding speaker and one that sounds like real music.
And yes, it is very important, it is the difference between merely a good-sounding speaker and one that sounds like real music.