AdMob is O&O by Google. I would say mischief is doable on both platforms since it is up to the developer to implement either SDK within their apps. This is why it is important to monitor conversion rates and be selective as to which apps your ads appear on. You could select Google's apps only for example.
No, I do know the meaning of owned and operated. What I stated is true as well, admob is O&O by Google. Facebook ads can appear on non O&O content the same as admob via their audience network. Both networks have options to advertise on just their O&O website or apps. Do you understand now?
Comparing AdMob to Facebook Audience Network is like comparing a lemon to a watermelon. Majority of FB's display revenue comes from ads on their own properties. This is not true for Google where their display network dominates their display ad spend.
Anyways, the fact that I have to explain all these things tells me you are pretty new to this and don't understand things deeply enough to have this debate. I will sign off.