Good thought! I'll try a little barkeepers friend and see what happens.
It's a table knife; it needs no edge and I don't want to create an edge on it. In fact, I can see that it was made with no edge as these 6 table knives are in nearly the same condition that they left the factory about 120 years ago.
Interestingly, I have a set of 1950s table knives that did come, obviously, sharpened from the factory, but this is not the case here. I worked hard with the sub-1k sanding and while that smoothed the raised part of the pitting somewhat it didn't address the, what shall we call it; ferric patina(?), that darkens the low spots of the pitting that sanding can't touch.
Good thought. I'll try barkeepers friend on a cloth wheel and see what happens. I'm not convinced, however, that that will get below the raised part of the pits.