I think it’s best in general to minimise any unnecessary chemicals. The first few ingredients on a spray deodorant list read more like something you’d use on your barbecue.
Many of these chemicals haven’t been adequately tested for their long-term safety, especially in terms of their synergistic effects (how they act together in your body). It’s only when people start to notice quantifiable symptoms that they get removed from the shelves, just like with pharmaceuticals, pesticides and food additives.
You might’ve seen news recently about the link between parabens in antiperspirants and breast cancer. There doesn’t seem to be a conclusive link, but the fact that researchers have doubts shows you how thoroughly these things are tested before we consume them. Shouldn’t we be sure in advance that what we’re using is safe? Why do we have to play guinea pig so some company can make profit from its gimmicky products?
Try looking at some of the ingredients in your washing-up liquid, detergent, shampoo, skin cream, bathroom cleaner etc and asking yourself what the hell they are and if they should be in any form of contact with you.