The rationale is, brown toners and sepia toners soften emulsion, so that they are more prone to scratches. I've read somewhere, the recommendation is to use hardening fixer to do the job. That would mean HCA and full wash again. I've done it both ways.... Without any of that and wash it well as normal, and do the hardening with Kodak professional fix, HCA, and full wash. I don't see any difference. I have not experienced scratching either.
So, these days, I just skip all that. Wash well and dry.
I use Ilford FB MGIV glossy and matte, WT FB glossy, and Adorama's house brand FB in both glossy and matte.
I use Legacy brown toner and sepia.