I haven't had a problem with a cat walking across the keyboard. (I'm allergic to cats, and my dog can't reach the keyboard.)
I have had the issue with letters not auto-filling a few times, and with two puzzles opening up. Sometimes they will not auto-fill at all, but mostly only partially auto-filling.
Luckily it has not happened too often - though it would be nice if the 'management' could find and fix the problem.
A few times, not often, I've hit the retry button and had it open a new puzzle.
Both problems mostly screw up times more than anything else.
Good luck with the cats.