This matches my kitty.
I noticed her preference because if I lie on my left-hand side, she is a very happy little spoon and uses my arm as a pillow.
If I lie on my right-hand side, kitty is confused. She will take extra preparatory rotations hoping that one more turn will be enough for the problematic situation to resolve. After some hard stares, maybe an annoyed huff, she will reluctantly curl-up as a face-to-face non-spoon.