If you received a removal order, it would be because you have gone through the IRB process and have been found inadmissible. If you've received a removal order after that process, then yes, you should go through this process. The Federal Court is separate.
I would say, as well, that the existing process can do a better job of investigating criminality. We do believe there is significant criminality with some of the applicants who may find themselves in this position. IRCC, in this new process about the status a person may have in Canada, is not expert or built to make that kind of an assessment.