Ah, but pillows can be legitimately used for multiple purposes. Sleeping, forts, and clubs. A skirt can only be worn, on women.
Unless you use it for, like, a bandage or something. But in that case any piece of cloth would work provided it's thick enough and can be tightened enough.
Wait, wait... so... a pillow, which has the thought-out / intended design to be used as a means of propping up one's body during roughly 8 hours of any given day, can have multiple, unintended uses, but as soon as we pick some other object that has any smack of gender to it, it suddenly can't have multiple uses / must be regulated to one gender because
if someone of the wrong
gender uses it, it means they're not [masculine/feminine]
enough anymore! Oh noes! The humanity of it all!
... and what about the dhoti?
The solution to your problem is hanging on the wall behind you. Carry any of those around and no one will give a damn about the skirt.
I wholeheartedly agree. Wear that axe on your back and people probably won't stare for too long.