No. The actual revised work must fit a listed USMCA profession and its qualification requirements. Keeping the same title does not preserve eligibility if the substantive assignment changes.
Compare responsibilities rather than headings
Ask the employer to explain which design, commercial and administrative responsibilities remain and who performs them. Do not invent percentages to make the role fit. An accurate revision may support review, but a polished letter cannot cure a real mismatch. The applicant still needs Canadian or Mexican citizenship and the profession’s required credentials; a previous discussion about the earlier offer is not a decision on the new facts.
At every extension, and in substance at every re-entry, the question is whether the person before the officer is a citizen of Canada or Mexico engaged in prearranged professional work in a listed profession, holding whatever that profession's rule requires. The applicant and employer should check the responsible state board's requirements for sealing drawings or taking responsible charge of designs, including any examination, experience or comity rules. The USMCA entry requires three years of hotel or restaurant management experience but does not state that those years must follow the diploma, so document the complete qualifying period rather than imposing an extra sequencing rule.