I notice that you are checking without the tailstock support. It could be it basically sprung out when the tailstock was released. An off center tailstock shouldn't create runout, it creates taper.
If you put the tailstock back in, is it good?
There are a few things here that you can check to see what is going on.
1. Use a micrometer - is the diameter consistent? If so, tailstock alignment is likely good, if theres a taper tailstock alignment is suspect but that still doesn't fully explain the runout - except that in order to mate with an out of alignment tailstock the material needs to be deflected of axis, and when the lathe stopped the material / chuck clamping took the set of the misalignment.
2. Measure runout with the tailstock in place. Does that change the runout? If so, it could be the chuck end or the material. Chuck end could be the chuck or spindle bearings. Is the material well clamped? Even though its a collet, there could be lump on the stock creating a bad grip and a pivot point.