It's in fact very difficult to imagine mandatory transparency logs in the DNS PKI. The story of how mandatory logs came to be for TLS involved Google and Mozilla putting a gun to the heads of the CA industry, after murdering several of them. Nobody can do that to the DNS, and just as importantly, governments don't want them to.
In a world where DANE catches on on the web, I don't see why Google and Mozilla couldn't do that again. I mean, presumably there'd need to be some evidence of malfeasance, like there was with Web PKI. I don't see why Mozilla alone couldn't start by putting the screws to a smaller CCTLD and some medium-sized DNS hosts for instance.
That said, I don't particularly see DANE growing on the web.