Are scented sanitizers used in hospitals and medical training treated the same as perfumes which women are not permitted to wear in the presence of men?

It is permissible to use medical sanitizer, even if it contains perfume, because sanitization is a medical necessity to prevent the spread of diseases and protect wounds. Moreover, the scent of sanitizers is weak, not pungent, and quickly dissipates, thus not falling under the conditions of prohibition. If it is permissible for a woman to use something that removes unpleasant odors, even if it has a slight scent, then it is all the more permissible to use sanitizer for the reasons mentioned.