I run a website. I have advertising. Like the vast majority, it's automated. I don't choose what is shown. I can't choose. Indeed, it's hard for me to even regulate it bar excluding specific websites if and when they appear.
If something dodgy shows up, and I'm not around to block it or my service provider doesn't allow it for whatever reason, well... we have issues. But that situation has never come up.
The answer for TYT is to find a better advertising service that filters a little better what is shown.