I have nothing more to add to this thread, other than reiterate what Tom (bozebuttons) said. These look like HP-1, except that the polarity switches are definitely different (looks pretty rough tbh), and that cable certainly looks like a recable (doesn't look like anything from Grado to me [EDIT and the plug has to be far more modern than the headphone itself, given the branding]).
The correct pads to use with these are the flats (do not use bowls). Todd the Vinyl Junkie still sells flats for these.
As for value, it's really hard to say. If they really are some sort of prototype, then wow. Though I don't think I've ever seen any prototype like that before. Shame Joseph Grado has passed on. If you're not getting much traction via email, you should swing by Grado Labs in Brooklyn if you're ever in NYC and ask if John Grado would take a look at them. Don't know if he'd remember or not. Don't be surprised if you don't get the warmest reception.
I say this because I once showed up at Grado Labs with a HP-1000, and John bluntly told me he doesn't deal with these anymore. Except then he went to the back and gave me the part I was looking for (the little screws that hold the rods in place).
If it's just someone trying to add polarity switches to an HP-2 or 3 (not sure why anyone would do that) and replacing the cable, well that certainly cuts the value. Maybe it was someone who did some sort of a repair job to a HP-1? On closer examination, I think the covers for the polarity switches has just been removed. I dunno. Still, they may still sound fantastic. And at a minimum, there are some of us who value working HP1000 drivers as they tend to fail.
Over more recent years, I've seen pristine HP-1000 go from $1,500 to over $2,000, so while it's a nice windfall, I wouldn't say it's winning the lottery.
My understanding is that your Cary SLI 80's headphone out is fed by the tubes -- so it might be a pretty lovely combination. Honestly, I'd say you should just enjoy them. They're a lovely piece of history and retain a unique sound that you still can't replace anywhere on the market.