Just being a great song and recording doesn't necessarily guarantee a track will make it to the point where it's heard by a big audience. A little bit of luck and momentum can never hurt, as evidenced ...
Paul McCartney wrote a few heartfelt songs about more than one person; and a few of them are absolutely heartwrenching.
Trying to pick one song to sum up Paul McCartney's legacy is impossible, but if he could decide, he'd choose this Beatles track to be remembered for.