However, the idea of removing ads because of 'false claims' can only lead to censorship in the future. The list of what's considered false will inevitably grow over time and put a lot of power in the hands of whoever is deciding the 'truthiness' of claims. It isn't difficult to imagine this being applied inconsistently in countries further away from Western politcal norms. This does give Google a lot of power in shaping political discourse and influence outside of US and EU territories.
We know from how they've handled disputes on YouTube, disabled Gmail and developer accounts that this process unlikely have any better transparency than we've seen to date.
I'd argue that political advertising would require greater transparency and I'm not convinced that Google has the capability or the motivation to provide it.