Kind of interesting how marketing perceptions can depict how a fragrance is interpreted, along with time and changing fragrance tastes for men or women. I also bought a bottle of Ma Griffe to give to my grandmother along with this stuff (also new old stock).
So the Avon stuff is very similar to Stetson, heavier and stronger, but at a light application you'd be hard pressed to tell the difference. The heavy floral top is the only real difference I see in the Avon Cotillion. However it depends on what you're wearing. Like most this will fade to the base, if you apply lightly Stetson is almost identical. A tad soapier perhaps. Consequently heavy Stetseon application is very similar, perhaps more citrusy.
What about Ma Griffe? I get olefactory fatigue from it quickly (not sure why) so its hard to judge. Heavy on the Vetiver, if it weren't so overly floral I'd see it as men's cologne.
Oddly I think it is mostly marketing. I have a friend who occasionally wears Tabu lightly applied and gets away with it.
I find the whole perception vs. who buys it thing kind of interesting. Cotillion to me = over application of Stetson, light application = nearly no difference. Ma Griffe? Light application of this would be almost certainly be interpreted as men's cologne as the base is very heavy for a ladie's IMHO only real difference is a lot of floral top notes.
Wonder how many other older fragrances rest on the border. Kind of like how certain modern stuff can do the same. Only your interpretation makes a difference, like how I see Eau De FCUK leaning too far masculine to be unisex.