This is true. My cat definitely pees in the sinks and bathtubs sometimes even when his litter is fresh. He poops in the litter with no issues, so I don't think it's a location problem. My best educated guess is that he simply finds the sinks more convenient than hiking down to the basement.

I have no doubts that he would pee in the toilet as well, but I can't leave the toilets open because we have dogs around.

(Although, now that I'm typing this, I suppose we could install cat-doors on the bathroom doors to let the cat in, and keep the dogs out...)

The sink/bathtub peeing is definitely gross and not ideal. But, not as gross as it sounds. He very very precisely pees directly down the drain. The smell is almost unnoticeable. So unnoticeable that it took us a lot of time to figure out he was even doing it, since he sometimes pees in the box as well. The main danger to him peeing in the sinks is that it will make it difficult for us to know if he has a blockage as we can not monitor his urine output.

(I am not "noseblind" to cat pee smell, as far as I can tell. The litterbox is in the basement and if I neglect to clean it on a given day and there is pee in there, I can smell it from upstairs. I've also asked trusted people like my brother to verify there's no cat pee smell in the house! He's not afraid to give me harsh opinions...)