It's all about where you measure from, due to the inverse square law. For measuring things such as speakers for product specs, the standard is to measure from one meter away. But for rock concerts and hand dryers, you measure from the typical listening position.
I think you are considering your typical listening position for your child differently from the search results I found. If you were giving your kid a kiss goodnight and they screamed, it would be louder than if you were in the audience of a rock concert (but not louder than if you were kissing the concert speakers).
Every time you double the distance between the source and the meter, the meter reads 6dB lower.
Or one of these dryers, for that matter.
They are loud, but not as loud as one of these devices; not even close.
You're very likely some minimum distance from the speakers and from the dryer, but the minimum distance from your child could be nil (as in the 130dB claims) or significant (as in your experience), making it really hard to use something like a child in this conversation.