Not dismissing physical abuse at all. That’s not a stick, nor a stone. I’ve had numerous bones broken. Some because of me. Some because of others. Some from my parents. One from my child (technically my fault).

Both forms of abuse hurt. When the abuse goes on for a long time it feels like it takes 10x as long to heal.

The rhyme is about physical abuse though, it's not like accidentally falling into a pile of sticks and stones was a frequent occurrence.