*Because it's not the early 80s anymore and we don't stupidly send everything to landfill. All the rubbish in my house (and I assumed everyone's house) gets sorted into different bins so anything recyclable can be recycled. If I had a bathroom bin, I'd have to go through it to remove toilet paper holders, recyclable plastic, glass containers, etc from the rubbish that could only go to landfill.
And no I don't have any bin, kitchen or otherwise, in my house. They are pretty disgusting and pointless in the era of recycling. Why would I want to have to remove a day old slimy banana peel that's half stuck to a cornflakes box and half in a dog food tin at the end of every day, instead of immediately taking them outside and sorting them into the right containers. Indoor bins are false timesavers that actually create a load of gross and unnecessary work.*
Don't talk to me about reducing landfil - I compost EVERYTHING, grow my own veg, feed scraps to the pig, recycle anything that can be. But in your scenario I would be either walking outside non-stop to take every piece of waste out, or leaving piles of gathering waste until I get a chance to move them.
My bathroom bin gets sorted before anything goes in i.e. Loo roll inners and bottles would be left out and taken seperately to recycling boxes. But everything else... dental floss, cotton wool, snotty tissues, and yes...sanitary towels... goes straight in.