But yes, you're otherwise entirely correct. Our country has been lied to for decades in this regard particularly. Well done them, I guess?
What surprises me the most is how entrenched that industry is, like it's impossible to get rid of them.
The original URL was https://blogs.ec.europa.eu/ECintheUK/euromyths-a-z-index/ . It seems the EC itself pulled this page, and the live page now redirects to the above page which seems to contain blog-style entries for every item, rather than just a list of hyperlinks to all articles.
But the original full list is still available via the wayback machine as well: https://web.archive.org/web/20160329163353/https://blogs.ec....
For three decades, the European Commission London Office’s ‘Euromyths’ initiative tried to shed light on the facts behind stories about the EU in the UK media [..] Those rebuttals are now digitalised and searchable on this archived site, alongside more recent material [..] We hope the site continues to be useful, at least as a historical record of how parts of the British media sometimes presented the EU and how the Commission responded.
edit: sadly I can't find it now, newer post-truth issues like Covid-19 seem to drown it out in my search engines