I trained 3 of my cats years ago, using the Litter Kwitter. They all learnt really fast and had no problems or accidents. I did it for fun, always prepared to go back to trays if the cats objected to training.
I went back to trays when I got breeding cats, if I leave the toilet seat up they'll still use it. I had no issues keeping the toilet clean, a simple flush when I came in from work or through the day, just like scooping a litter tray really.
I lent my LK to someone else, her Bengal was fine, the Ragdoll refused to use the toilet at all, even with the early stage disks.