why would you care about attractiveness once sexual urges are gone?
It may impact other areas in your life. Even if you are not interested in other people sexually anymore, other people may feel attracted to you, and this may uncosciously influence their decisions to e.g. hire you at their company. (One of those things that shouldn't happen in the ideal world, but happen all the time in our world.) People attracted to you will more likely become your fans, if you want to be an artist. They may even be more likely to interview you if you are as scientist.
Shortly, other people's opinions matter, and other people's opinions of you are often based on how attractive they consider you (see: halo effect).
Yep this is what I was thinking along the lines of
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