I usually swim in the local community pool a couple times a week and shower at the pool where I don't have access to my deodorant. What I noticed was that I don't have that dreadful body odor they scare us about in the TV commercials for the next day. So I began to wonder why. I reasoned that it's the chlorine in the water that makes me smell like the pool but at the same time must me killing all the odor causing bacteria. I'm sure you know that when you sweat the sweat doesn't initially smell bad. It takes a little time for those little germs to produce and I guess reproduce.
Thinking about the fact that plan old rubbing alcohol kills some 99% of all germs/bacteria (fill a little bottle with it and use it instead of that hand sanitizer stuff which is just alcohol combined with some jell) I decided to try splashing a little under the arms after my shower. Guess what no more smell, works in fact much better than the deodorant and the cost is next to nothing.
I wouldn't recommend it for anyone who shaves under the arms but they might try some other medical disinfectant such as what they sell here called Lyso Form. And of course the alcohol won't stop one from sweating. But maybe if you aren't worried about smelling bad you won't sweat so much.
Most people sweat when they exercise or exert themselves, are in a hot environment, or are nervous, anxious, or under stress. This type of sweating is both natural and healthy.
Sweating is usually only a minor nuisance. The odor is probably more troublesome. Although perspiration is practically odorless, perspiration can sometimes cause an unpleasant smell when it comes into contact with bacteria on your skin."
I suppose there could be some downside to destroying the natural bacteria on part of your skin, but I'm thinking it can't be worse that putting those other chemicals on it on a daily basis.