Road signs provide information for roads to function properly, so even if they are a distraction the tradeoff is worth it. Billboards provide no such utility, they only impose costs on drivers for the benefit of ad companies and their customers.
Then it would be easy for you to provide multiple studies, saying that billboards are distracting.
Not just your opinion, but a lot of concrete evidence. We have had billboards for decades now. There's tonnes of data on where accidents happen. Yet no one seems to be able to provide data based backing to their opinions...