I would say the comment's vitriol is more directed at Edo, ranging from his facial expression and previous relationship. The comments toward Beatrice was just pitying her for a sweet girl being heartbroken being used/manipulated by her ex-boyfriend and husband, as well as being Andrew's daughter. In most DM articles' comment section, Edo was labelled a social climber, who abandoned "his beautiful, intelligent fiancee and son for an ugly dim princess with bug eyes". [...]
It seems that different standards are applied to blood princesses and blood princes. Commenters who consider Prince William or Prince Harry to be "ugly dim princes" never question why the former Kate Middleton or the former Meghan Markle chose them over handsomer men; the mere fact that they are princes is regarded as being more than enough reason. If the genders of Beatrice and Edo had been reversed, I imagine Eda Mapelli Mozzi would have been seen as fortunate to marry Prince Bertie of York, no matter how his looks compared to Eda's previous boyfriend. [...]
To be fair, these constantly-photographed princes are bound to have some off photos now and again. It's normal. Neither of them are ugly or dumb.
"Handsomer"?
When you put together all of the elements of their individual make up -- the looks, manners, humor, height, sensitivity, ... they look good.