Yes, it is a metal part. The bore is through the entire part. About 12 feet long total.
As the OD of the initial stock bar will be turned to a finished diameter, I have usually specified a drift of 0.001" per 1.0" depth. As the OD is sufficiently oversized, the total 'wander' of say 0.144" is not outlandish.
My feeling is to define cylindricity on the bore itself, and then perpendicularity to one of the ends.
The finished diameter (after turning the OD) would then be controlled by way of concentricity to the original internal bore (difficult to check though)...