Size wise it's similar to the DeWalt 610 collet except my 610 collet isn't double tapered, it's only single tapered. I'm pretty sure it's the old Bosch WK type. There is a chance it might work. I don't know why that would have a double taper. It's only the taper that gets forced into the cone on the armature that should matter.
Someone I consider a master woodworker once told me that a master woodworker is not someone who never makes mistakes. He is someone who is able to cover them up so that no one can tell.