When you think about it having the toilet and the sink in separate components doesn’t make much sense. Combining the two would save space and hopefully encourage those non-hand washers to wash up after doing their business because it’s right there. You know who you are. It saves water too.
The Dual Flush toilet puts this into practice by letting you brush your teeth while you pee and wash your hands and whatever else you want to do before you THEN flush, using the same water for all of it. Is it weird? Hell yeah, but you are saving a ton of water.