I would suspect that the reason for the edges not washing out is that they're fully exposed (not covered by a negative) and the printed area covered at least with the density of the negative (in the darkest shadows) or much more.
I'm with Niranjan and Ced in wondering whether there's any blue left in the image area for the sized print. It's not really visible in the video to me. Could you show a side-by-side of an untoned kallitype and a sized-and-toned version? Also, what was your exposure time for the PMF exposure?