They look ugly and unprofessional.
I must also disagree. I find them neither ugly nor unprofessional.
People are interested in trivia, it adds spice, and more
importantly it can usefully spark connection-making and deep learning.
Do we have a {WP:NOT} for "stuffy, conventional, dry, humorless,
or bend-over-backwardsly professional"? Perhaps we should.
Certainly any listed trivia must be *interesting*, and that's
obviously an endlessly subjective judgment, but one we can work
on without exorcising all trivia.
And while we're at it, can we get rid of
"{{PAGENAME}} in popular
culture" sections?
Those bug me more than Trivia, and I've seen many more of them
that are completely out of hand. But there was just a discussion
(here, or on one of the Village Pumps, or somewhere, I forget)
about developing policies to keep them trimmed to a reasonable
and relevant length.
I'd say, when people come across bits of trivia or popular
culture references that obviously aren't interesting, they should
be bold and just delete them.