No. You will receive the same information whether you send in the request using a lawyer, registered immigration consultant or anyone else who makes the request on your behalf with your consent. Whether the request comes from Joe Public, Joe Reporter or Joe Lawyer is immaterial. Decisions by IRCC concerning disclosure are based on the content of the visa application and the Access to Information Act alone, not upon who has asked for the information.
Professional titles will not slow down or expedite the processing of a your GCMS notes request.