If you show funds in your EE profile.. you will be invited to apply under FSW category even if you qualify for CEC-EE..
I had $15k under my EE profile and got 4 ITAs.. i declined them all as i only wanted to apply under CEC-EE.. when i made funds available to zero, the very next invite i got was for CEC-EE.. it is not under which stream u want to apply but under which stream CIC invites u to apply.