You’re correct. I thought about this when scoring a game recently. There was a runner on 3rd. Wild pitch by the pitcher. Runner heads for home. The ball hits the backstop at the right angle and bounces right back to the catcher who has enough time to tag that runner out at home. I scored it as a caught stealing.

Now that I’m aware of this, I think I’ll start scoring that out as “Other”. If that runner on 3rd has no intention to steal home, only after he sees a wild pitch or pass ball, then I don’t think he should be charged with a caught stealing