Thanks for your comment. I'm still only learning how legislation in the EU works. However, so far I haven't been able to confirm what you're saying. Could you help if you know? (I assume not only me, but possibly other readers, too)
https://en.wikipedia.org/wiki/Council_of_the_European_Union
Here it doesn't say (almost) anything about "trade". Admittedly I've only read 2-3 pages and then used Ctrl+F to search on the rest of the page though.. Is it a de-facto split between the legislative powers of the Council and the Parliament? Where to read about it?