Hi Houshyar,
Ok, I see why you want to add the condition. I cannot say if the condition for control parameter works or not for EH type condition since I have haven't tested with those type of params as condition. Maybe someone will test in their system and confirm if it works or not but if you need, there is other options which you can try.
Try to create just 1 EE profile with all the Exp Events and control what expected events you want send to EM through your Expected Event extractor. In the extractor, you can put a condition for EXW and u can send EXW related events and if it's not EXW, send the Exp Events which are not EXW. This way you can control your Expected Events if your condition for EH Type doesn't like control params.
Also, why do you say you can have only 1 AO Type? You can have multiple AO Types for your FB document. You can remove the AO Type check from relevance which checks for AO Type from TM in EM extractor. You can have as many AO Types for a single TM doc type.
Thanks,
Vishnu