EDIT: I got arguments mixed up. It's master-lincoln who was making the health arguments, not you. You were talking about not holding women to unreasonable beauty standards. I mostly agree, although how to actually stop doing that is very much an unresolved question. I'm leaving this comment here because I think it is interesting, I may explore how to break down beauty standards in a future comment.
First off, I know this is long. It is long because I am having to deconstruct the way we think about showering and make-up. I do think the deconstruction is interesting, but I wouldn't blame you for deciding not to read this.
Though ndndjdjdn's comment was phrased pretty snarkily, but I do think it is a good point. I'll try to explain why, addressing the first and last points, followed by the middle point:
I grew up on a farm. It can smell "bad", especially right after a rain storm. However, since I lived there my entire childhood, it mostly just smelled different rather than bad. I wasn't bothered by it like visitors were, though if I had to pick, I'd prefer the non-after-rainstorm way it smelled to the after-rainstorm smell.
If everybody stopped showering, then everybody would start smelling "bad". I'm sure people would adapt quickly enough, though they would still probably prefer the smell of people who regularly shower to some extent. Thus people tend towards the "showered" state to be more appealing to other people, even though people would probably get used to it if we all eliminated regular showering from our habits.
Similarly, I have seen both IRL and online where men think women who aren't wearing make-up are sickly or ugly, and that women who are wearing natural make-up aren't actually wearing make-up. If a woman stopped wearing make-up, then men would suddenly find that woman to be less appealing, though men would probably get somewhat used to it if all women stopped using make-up. Thus women are pressured to be in the "make-up" state, even though men would probably get used to it if all women eliminated make-up use from their habits.
I would like to note that the logic of the last two paragraphs is the same. Thus, my rebuttal to your point that the body would stink "uncomfortably" is that it probably wouldn't be uncomfortable if everyone stopped showering.
Now to address the middle point. I don't think there is a meaningful difference between showering and showering + wearing perfume (which I will call "perfumed" from hear on). People being in the "showered" state is considered normal, and from that point of normalcy, being in the "unshowered" state is bad and the "perfumed" state is good. However, if we are trying to figure out the best way for the world to be, I don't think what is currently "normal" should matter at all.
Now let's lay out the states people can be in:
Smell wise, people can be in the "unshowered", "showered", and "perfumed" states. As laid out in the comment you are replying to, "unshowered", or at least not daily showered, is the healthiest of these states.
Sight wise, women can be in the "no make-up" or "make-up" states. As you point out, health wise the "no make-up" state is the healthiest of these states.
Thus, if we are prioritizing health above cosmetic appeal, everybody should be in the "unshowered" and "no make-up" state. As I have argued earlier, everyone would probably get used to this eventually, but there would always be pressure for people to shower and wear make-up. Thus I think it is inconsistent to want people to be in the "showered" and "no make-up" state if you are arguing health is the reason. My personal take is that we should just let people make whatever choices they want based on their own values, and not mine or yours.
Thank you for coming to my TED talk. I hope you at least found that interesting. If you did read all the way through, I'd be interested to hear your response.