Interesting. The little bit of instruction I got was to use a heavy copper wire around the barrel in the 4 jaw and a spider at the left end of the spindle. Not an option here. I have done exactly 2 re crown jobs on my rifles so I am totally green at this but I have cut some tight threads. If I can dial in the bore I am confident I can rethread this. I assume you are chucking the left end in the 4 jaw to handle thrust, as using a driving plate and dog would not hold it securely I think.
I ran the barrel between centers, just turning by hand. The face was dead on but the relief groove shows 2-3 thousandths float on the dial. I do not have a piloted reamer to insure the crown is square/true though, so if the crown job is bad it would not necessary ride on the live center true...???