It may be for threading only fairly fine threads, in which case the polished rim would do.
And -- it could be other angles if not 60 degrees. For example, Whitworth threads are 55 degrees, instead of 60 degrees.
An additional photo straight above one of the flats formed by grinding back the wheel would show the profile more clearly. I didn't see anything with the proper angle -- and also, the photos could benefit from having their gamma changed to make them brighter. They are rather dark as posted.
No! The clamp(s) (there are supposed to be two for this version) have a much wider stance, and have a flat piece of metal closed by the clamp bolt, so they don't make dings in the bed of the lathe. This one looks as though the end of the clamp bolt bears directly on whatever it clamps to. I hope that you have not seriously tightened it on the bed, as you would be likely to raise a bump beside the contact point of the bold.
I'm sure that it is a resharpenable threading tool -- but the real question is how it is supposed to mount.
Enjoy, DoN.