LE types now drop within roughly +/- 5 qls of the mission level, but there's an issue: the levels of the cocoons (and therefore, of the Cocoon Accelerator), do not match the mission ql, but still vary widely. This means you can still get sub-ql200 types in a 220 medium mish, which only drops 240+ types in every other type of bossroom.
So, instead of just the Cocoon Attendant, also make the coons themselves the same level, and all will be peachy.