Interesting. My husband is a white collar working in italian business tower, so the standards there are as high as you can imagine. But he told me he got incredibly better when he switched to carnivore/some clean diet, and mostly thanks to cold showers, that it helped him with sweating altogether. So now he just showers with cold for years, uses some olive soap like a usual guy would (and I will not spread this description any further) and uses cologne on his armpits mostly for the nice smell. I think he steals my shampoo maybe once a week or less, not much. I have a nose of a bloodhound and have no issues with him.
With us women it's probably more complicated, not only are we generally more delicate, but I remember terrible issues when pregnant - maybe it was my imagination, but unless I showered three times a day, I felt like a fat bus driver on a hot day💀 Back then I turned from castille soap and all that natural idealism to expensive bubbly crap, because💀💀💀