I agree that the end result would be valuable, but I think that changing norms for a whole society would be very hard.
Although it might still be easier than the converse of raising the rationality of a whole society: being informed has higher status in society than being rational. It is more related to being a professor, journalist or talking head, whereas rationality is more associated to being a nerd, scientist or economist.
I think the causality has to run: X-Rationalists raise the standards for ordinary rationalists and scientists-> People connected to the scientists raise their standards-> Everyone else
Sort of top down by osmosis rather than decree. Everyone gets slightly better, but most ordinary people won’t have to unrealistically become X-Rationalists.