As I understand it, the stinky bacteria feed off some of the stuff in your sweat so I assume a lot of them would die
Otoh, there are definitely people around that stink but are not visibly sweaty. I think it must be more a microbiome issue than anything volume related.
For the record, you are not the judge of your own odor.
And even if someone else says you have no body odor, that still doesn't mean you don't -- some people have less sensitive noses, some think "smell I'm accustomed to" = "no smell", and some will just try to be polite.
(Personally, I haven't put on deodorant since COVID started, but I'm pretty remote..)