Their market share of "search, mobile phones, smart TVs" is what you originally claimed would give them leverage. But none of those have any bearing on movie rentals / sales on YouTube. They're entirely different products.
Now, the terms for the movie rentals / sales would definitely be negotiated between Google and the content owner. And Google could of course make your no-DRM policy a line in the sand in those negotiations. But why would the content providers agree to that? There's plenty of other competitive platforms they can (and do!) sell exactly the same content on, being specifically on YouTube's movie rental system won't make or break them.
And then we get back to your original proposal, which was clearly that they'd be using all their unrelated properties as (highly unethical) leverage in the negotiations.
If that's not what you're proposing, maybe you could be really concrete about what you think Google would be saying in those contract negotiations? "We will be selling your movies without DRM; if you don't agree then X". What exactly do you think X would be?