While that gives the response more legitimacy, dads don't actually care about the grammar and will make a smart ass response just based on how the question sounds.
You're on the right track. The possessive 's is missing which would make it the bowl of the dog (as intended). The way it is written, "bowl" could be a verb as in "have you seen the dogs when they bowl". Hope that makes sense and I'm a non native myself so not 100% sure myself