I might be missing something here, but I'm really struggling to see what the issue is. If you gain a type rating somewhere else I'm making the assumption a job comes with it (because only mugs pay for ratings without a job). If this is the case then who cares if you get kicked out the pool. Isn't the end goal to get into paid employment as a pilot, not just to work for Easyjet.
Please feel free to correct me if I'm wrong.