NorCalMikie, I didn't use to check either, but a few years ago, when I couldn't get the runout out of the breech end of my .338 x 10 Shilen Select Match, I took it out of the chuck and slid it down to put the breech end on the live center and held the muzzle end in the chuck to spin it. I ended up turning it true right where it was. It was .004" off concentric from the bore. I don't know if it was eccentric or not. I didn't think to mike it. Then when I moved it back into the chuck to cut the tenon and chamber it, I fiddled with it until I had .0005" t.i.r. I don't know much about this stuff, but I figured that if I couldn't get it under a mil, I shouldn't cut or chamber it. Been checking it ever since. On the 3 or 4 that I reported on, I thought to check both ends and the middle before chucking up. In the middle, I was just checking for straightness. Like I said, I was surprised. It never occurred to me that they wouldn't be perfectly straight. Dumb.
I've learned that to compensate for being dumb, I have to be really careful, so if I could think of something that could be checked or measured, I started doing it.
I decided that if the outside could be fixed and the inside was good, no problem. But if after doing all the work, it won't shoot bugholes, you can't help wonder if there is something wrong with the bore. At this point, the reputation of the barrel maker is what you depend on. So far, my rifles with Shilens shoot as well or better than any other barrel I've tried. I put Lilja's on the last couple of my rifles just because when I checked one for my son-in-law, it had virtually no runout anywhere, and didn't need any surface refinishing. They both shoot better than I can, and broke in and cleaned up faster than any other barrel I have.
However, after hearing from Frank and Butch, if I wanted to barrel something up right now and a Shilen was available, I'd use it in a heartbeat, and expect it to be a "hummer".
Got long-winded again. Too much time on my hands? Tom