Well, it keeps out humidity, and might prevent air-exposure effects. It won't prevent heat effects and some other environmental effects.
Also, quite a lot are sold in bottles of pills or other non-blister-pack forms.
I remember vaguely having seen pills in bottles maybe 20 or 30 years ago. Again this is for France, I know that e.g. in the US one gets refills.
Which by the way I find great because the waste of pills is tremendous. It would have been much better to get the specific number prescribed.
In Australia the only thing in bottles are vitamins and similar, though it is possible to get small bottles.
* acetaminophen / paracetamol
Over here, benadryl is the main over-the-counter drug I see in blister packs. They say it's to slow down the meth cookers.
I'm a long time pollen allergy sufferer living in the hell that is South Florida. I know my allergy meds.