It matters to me, but not as much as the connection from a mental/emotional/personality standpoint.
Looks fade and are hella subjective. For some, the fading process is slower than others. A 6 to some is a strong 7-8 to others. Some people think looks and think about Team #FaceTime, others hear looks and think "The ass/breasts are succulent

"
Think about how many folks sidestep a cute-faced BBW (or privately claim, at best) only to turn around and call her a dime because she dropped 40-50 pounds?
Or how many find themselves a dime only to be like

toward her after a weight gain? Not even because she gained 40-50 pounds in the first place, but because that weight gain went to the 'wrong' place(s)?
That said, looks matter to a degree. If a 6-7 type chick that I find attractive checks off all my non-aesthetic boxes? Fukk it, we in there. Granted, I can only speak for me, someone who is by no means a member of #ObjectivelyHandsomeGang (meaning, consensus opinion on your looks is 7.5 or above). Most of the people I've gone on dates with or looked at in that fashion, I did so because I liked their personality or whatever, but I just so happened to consider them "cute enough."