> I don't like the idea of showing ads next to my content in this situation, but I'm pretty sure I have no right to control that.
You have every right in the world to control that. It's called copyright. If you choose a license for your content that prohibits putting ads next to it, then there you go: you used your right to control that.
Not saying it's practical, or business wise, or good PR, or, ... But definitely your right.