For all their concern, exotic'izing Bedouin culture and implying racist tropes about their relationships to camels and women, I wouldn't be surprised if the Times pulled the article, as it's hard not to read it as risably offensive.
True, males have been traditionally denied the status of "beauty" in more traditional cultural arenas, and yes, many unfair prejidices towards domesticated animals exist such that their comparison to a human is assumed to be derogatory. However why let a few bad apples spoil the bunch?
I don't think there's anything wrong with celebrating beauty in all its forms and comparisons and I thoroughly enjoyed this article.
"the men are men the women are men and the sheep are scared"
Or they're just trying to distance it from dog shows and farm animal competitions like you see at state fairs because those are boring and well known and won't get western audiences to click.
Not everything is racist.
One of the ways to be racist and put down other cultures is exoticism, make the culture feel more dissimilar than it is. They are increasing the sense of “otherness” and de-emphasizing commonality (the camel show has more in common with dog and horse shows than with beauty pageants)
The title definitely is doing that and as you said, doing it for clicks which makes it all the more risible.