Giving importance to physical appearance may be related to extraversion (greater interest in and dependence on the external world, where other people are in contact with you, and where you in more situations need to look good), ethics (greater focus on pleasing and influencing other people emotionally, being interpersonally attractive, proper and sending the right signals), sensing (either interest in what is aesthetically pleasing or the appearance of status). Also Fe-Ti valuing types usually place more focus on proper appearance, as they place greater value on clearly defined social roles and the proper expression of that role - especially the rationals.
EXE may be the most interested in it, XLI the least, on average.