Deaf members talk about what they do with their kids, and relate stories from family activities. My point was that the deafness appears to come first with hearing parents. The research on parent child relationships show that hearing parents of deaf kids in oral environments have more directive relationships with their kids and engage in less spontaneous play and interaction. I'm kind of seeing that here, as well. I don't doubt that they do activities with their kids. But how often is that just a child and parent interacting and enjoying each other without some form of language therapy or speech exercise slipping in? Even the AVT therapists instruct parents how to turn every situation in a language learning activity. And the fact is, the best way for the kid to learn language is through natural use and exposure, not directed activity.
With your mastery of English, I have no doubt that you had time when you were just a kid, and not a deaf kid with your parents.