Now I do realize that evidence points toward the answer being yes, especially with all the platitudes abound that detract from the importance of beauty, but I want more opinions on the matter and this is in a specific context. I found it rather perplexing that the last topic I made in this subforum caused a fair amount of confusion because I figured that was one of those "oh everybody would vaguely understand what I'm talking about from experience they just haven't really thought about it(or did) or seen it pointed out" sorts of things. In this case however I'm fairly sure everybody should be capable of having an answer to give.
I was reading a comment earlier in which someone described their frustrations over how female characters claimed to be praiseworthy for their sexually forward nature in an anime towards the male protagonist were not particularly interested in the main character's actual physical features, with the implication of their reasoning for attraction being for personality traits alone. This is to an extent fair, there are plenty of people out there who haven't been blessed with the most pleasant countenance to speak in charitable terms, and many of them are still married nevertheless and some of them are claimed to have an advantage in the form of charisma. Remember, in the context I have referenced, it is already assumed that the recipient will have a positive evaluation in matters of attractiveness.
However, because this was meant to be specific to how female characters feel about men, initially I had thought to answer with reference to the cross-cultural social environment that has a tendency to socially condition women to placing extreme importance on their appearance, while largely forgiving men for being sloven, causing them to have a widespread tendency to feel entitled to love without respect for others' feelings. However, I then realized that, as someone who also consumes media that was meant for the wish fulfillment of women, I saw that the male characters who take interest in the female protagonist in those works were not particularly likely to comment on the protagonist's appearance either, doing the exact same thing of avoiding mention of their physical preferences in favor of focusing on personality traits or some non-visible feature (a very common example being that the female protagonist has some kind of special blood in vampire stories) and thus came to the question of whether it is simply that, in the situation where you have characters designed to be attractive options to the viewer, is it that the viewer is afraid of seeing them to be persons that would form judgments using shallow qualifiers?
Now obviously as someone who has cute younger boys and pretty older girls on their mind more or less 24/7 the thought of someone being averse to being noticed for their visual characteristics (at all) has never particularly occurred to me personally, especially in situations where they are not even specifically attracted to you (they are attracted to the protagonist character), and in the situation presented it is not as though it is meant to be a matter of someone's body being of more relevance than their personality, but rather the omission of commentary about that body by the characters attracted to them. Comments about appearance are easy to find when they are mentioned by people who aren't marketed to be attractive to the intended audience, it's particularly when a character meant to be appealing in a certain way doesn't bother to actually show or speak of who is their actual type.