That won't be necessary. If your profile is indeed ineligible, there is nothing further to do there.
Create another EE profile and this time make sure that the NOC details are accurate. If you meet CEC criteria, ensure that you stop with that and try to avoid being eligible for FSW as well. No harm in being eligible for FSW except that you won't have to show POF if you're eligible only for CEC.
Also send a mail to Ontario informing them that your EE profile is ineligible and request them to change the invitation to your new EE profile. There is no guarantee that they will do that but it is definitely worth a shot.
All the best!