nope, it gets washed out in the rinse. I always fill the softener in my top loader with white vinegar.

Surprisingly, no. You can't smell the vinegar, even with excessive amounts.

I personally wouldn't use a whole cup full, but it's fantastic for getting funky smells out of things

They don't. Add to the rinse water, and the smell is gone by the time the spin cycle has finished. I second this hack - vinegar does wonderful things to hair as a rinse too. Unless your hair is coloured, where a vinegar rinse wouldn't help at all. Mine isn't coloured, so I rinse with a generous tablespoon of vinegar to 1 litre of water after shampooing, and don't need conditioner. At first you notice the smell, but it's gone in 5 minutes. The mild acid neutralises the soap part of washing powder and hair shampoo.