You definitely don't want to come across as worked up or vitriolic. I would note that the guy who wrote this article is sometimes a tiny bit dickish though, check this article out:
https://medium.com/@jamesheathers/long-hair-dont-care-5eeba2...
Sample comments: If that title leads you to expect off-brand evo psych exploring massive behavioural changes induced through the complicated medium of hairdressing… well, you’d be right.
Mmmm.
It's also worth bearing in mind your audience.
This article was written by two guys who by and large are going after junk science in psychology, nutrition, and so on, where the worst motivation can only be to advance the careers of the scientists - and quite possibly the errors are just the result of over-optimism or lack of statistical abilities.
For that sort of work it makes sense to try and fix psychology from within, by pointing out errors. There isn't much point in trying to spread the word through the wider world that psychology is full of errors: what's the best outcome, exactly? A few people stop being invited to give TED talks? Big deal. Psychology isn't going to stop being studied, nor should it be!
But in the case of economics, there are two problems:
1) Economics is absolutely riddled with not just bad individual papers but entire sub-fields that are nonsense, it's an epidemic. It probably cannot be fixed by shaming individuals who make simple errors via their own journals and hoping for the field to improve. Even when major economists like Paul Krugman or Paul Romer have gone on very serious attacks against their own field, there has been no visible impact and in Romer's case he simply lost his job.
2) Economics is routinely used to justify massive government interventions (or lack of interventions) in markets and society. Bad economics research can have a very serious impact on people's lives.
In this case, it's probably better to work at a different level and try to spread the word amongst the general public that economics is not trustworthy. Thus the audience is not journals or the authors of the papers themselves. It's the public.
This is not hard because most people who follow the news have already encountered major cases where consensus economic predictions were simply wrong. Polling shows that trust in economists is quite low as is. If and when the field reforms it can try to rebuild trust.