deespoohbear I know what you mean.
Although I don't have asthma, I am sensitive to a lot of fragrances. Even though our unit is posted with signs that perfumes and colognes aren't allowed (tiny little lungs with problems of their own in our unit...), they are largely ignored.
Although my co-workers watch out for me (they don't want to have to absorb my assignment if I have to go home, after all) by trying not to use offending products and warning me away from "stinky folks"; management doesn't give a darn. They recently installed fragranced waterless handcleaner all over the place even after several of us told them it caused problems! I sometimes cover up the dispensers (and draw a skull & crossbones) and have brought some non-sickening hand cleaner for people that don't want to bother washing their hands. I have also considered tossing the stuff in the trash - lets see... replacing about 10 of those/day...
I'm trying to get our infection control person to supply a non-offending brand. If that doesn't happen, I will look into filing a grievance with our union or see if it falls under the ADA - Americans with Disabilities Act.
Here are some websites with useful info: