I had a Parker 79 with 6-1/2" jaws and it had a heave chamfer like yours. I built a stand for it but did not want to chop out the big chamfer area. I really do not know why they cast such a large chamfer, must have been a reason. Guys have added a wood base underneath where the chamfer could be cut easier and not ruin a bench. I chose to cut most of it out but used a 1-1/4 ball end mill just in case it needed strength there. Matched the base plate to the radius. I also do not like how the stationary bases are not flattened, I have see over 3/16 of casting irregularities where I was afraid the hold down ears would break attaching the vise to a flat steel plate. I guess the best way to attach a base like that is to fill the areas with a rubber pad or a two part mixture.
As for the jaws, I do not have time any more to make Parker jaws but always happy to add my 2-cents on how I built them. I actually made a blog on my steps. Look
HERE. Good luck with your vise if you buy it, 7" Parkers are kind of rare.