Never use my rear wiper ever and turned it off for reversing too. Doesn't help you any but sounds like a dodgy stalk switch.
Visibility out of my rear window in bad weather is dreadful. I suppose it's down to the hatchback design. The whole tailgate gets covered in road grime. I would be lost without my rear wiper.
I've got gtechniq glass protection stuff on my windows so nothing really sticks.