Do I need to change skeletons when using OS to convert armour from male to female?

[SmedleyDButler]

A rather dumb question has belatedly occurred to me. See I usually convert male armours to female by reshaping the mesh in OS and then either listing it as a female armour in the CK, or (if it's a replacer)  just slotting it in, instead of whichever vanilla armour I'm replacing.

 

Now, I don't use particularly girly female animations, so it's easy for me to miss, and I've never noticed an in-game problem with my armours, but should I actually be removing the male skeletons entirely and replacing them with a skeleton from a female mesh?