@domo There's nothing on an EU level that mandates specific collection/recycling practices AFAIK, but the standard intake requirements for separate plastic waste collection in the Netherlands (which most municipalities seem to follow) do actually include empty detergent containers in the recyclable plastics category (even for stuff like bleach).
How much of that actually gets recycled is anyone's guess. It seems that the actual recycling rate *is* growing as more recycling facilities are being built within the EU, and exports of plastic are increasingly being banned, but I wouldn't be able to name a (credible) percentage, due to the wildly different ways these are calculated in different places.
Some municipalities claim to do post-collection sorting rather than separate collection, but I'm skeptical about the accuracy rate of that. Automatically sorting such a wide variety of trash is very error-prone, and doing it manually seems unrealistically labour-intensive to me.