Hi Chris.
Fine ground jaws in fact a nice finish all over. Is this a case of all that glitters? Something to watch out these days equipment that is tricked up, but not accurate.
Apart from on tiny toolmakers vices I would prefer a flattened diamond patterned grip face on the jaws, like on my old Abwood. Two of my machine vices have this the other has small v grooves about 3mm deep about 8mm apart. A shiny face has very little friction to hold the part. If I want to protect the work a box of assorted aluminium and brass strips of the right length is always to hand to slip in between the work and the jaws, sometimes I use paper.
The movable back jaw? Is it really necessary? I noticed the V in the back of the jaw after you turn it around for holding vertical work. that can be replaced by a slip in piece with a V milled in it, a couple of those live in the same box as the strips.
The diagonally disposed set screws that hold the back jaw in place are intriguing? there must be an uneven resistance to the clamping pressure of the opposing jaw, at a guess the jaw would be more inclined to lift on the side where the screw is towards the back.?
I also would be inclined to credit it.
Your work moving reminds me of a nasty accident that happened in a shop nearby, a person who should have known better was in a hurry and set a 3 jaw chuck on a rather large Dean Smith and Grace lathe. No not on the spindle register, clamped in the jaws of the 4 jaw already there, it was a big one and had to be craned off. I guess you know what came next. hard steel on hard steel = very little grip as soon as he started up a hundred pounds of spinning iron flew across the room doing considerable damage including injuring the operator.
Cheers
John