And .... it looks like yes, Stable Diffusion also hates upside down. 

Prompt #1: miniature fluffy cat, adorable eyes, lying belly up in a beam of sunlight

Prompt #2: miniature fluffy cat, adorable eyes, lying on its back in a beam of sunlight

Prompt #3: miniature fluffy cat, adorable eyes, lying upside down in a beam of sunlight

Not an upside down one in the lot. Closest was the one in batch 2 that's kinda on his side.