Not on their own. A listed profession's credential route asks for a stated qualification, often a baccalaureate or licenciatura and, for certain listings, alternatives such as a licence or a diploma with experience. An honours designation neither creates eligibility nor is generally what the listing asks for.
Read the listing before deciding what to document
The useful question is whether the records establish what the listing asks for. Where the listing refers to a field, a specialization recorded on the transcript can help show the study was in that field. Where the listing simply requires a baccalaureate, an honours designation adds little. Counsel comparing the exact listing to the transcript can say which details are worth documenting and which are noise.
TN preparation should identify the true duties and applicable listed category instead of assuming that the word consultant selects the immigration profession. Each application asks the same questions again: whether the person is still a citizen of a qualifying country, whether the position is still within a listed profession, and whether the applicant still satisfies that profession's rule. The underlying TN case independently needs Canadian or Mexican citizenship, a listed USMCA profession, that occupation’s specified qualifications, and prearranged US professional work without prohibited self-employment.