As a design choice, there's absolutely nothing wrong with asymmetrical court cards. I recall a few years ago, there was quite a trend for them on Kickstarter - cards that had some difference between the "top" head and the "bottom" head. Sometimes the difference was small (two rather similar heads, with subtle differences, as if they're the same person seen different ways), sometimes it was much bigger (I seem to remember one that had a person on one side and a "spirit animal" on the other), but no matter the degree of variation I found them all rather intriguing.