If the kid won a significant amount, then I will let him/her use my personal data in order to claim the prize, after that there’s no reason anymore to tolerate the kid’s early gambling journey. Maybe it’s just a matter of educating your kid and all the future consequences with gambling, that way even if he will continue without my awareness, at least he knows the future consequences of his own actions.
We can’t stop a kid if he will pursue gambling secretly. Although I don’t agree with early gambling exposure, but the technology around could be a big temptation for them. Otherwise, educating him and teaching him how to limit gambling is all I can do.
I have same sentiments as well. I will allow my kid to use my credentials in order to get the winnings and I will guide him to do it. Afterwards, that's it. I won't allow him/her to continue gambling as we all know where it will lead for them. As a responsible parent, better advise them what you have learned in life rather than castigate them later on, when it is already too late.