Here's the 180 gr. BB from the No-Name barrel with Taylor Junior forcing cone.
-- to my eye the engraving is deeper at point #1 than at point #2, though the difference is slight.
-- 100% of lube retained, points #3 and #4.

Here's a 180 gr. GC with a bore-riding nose. I have not shot this one on paper yet, but I chose it for the water tank because the bore riding nose does a good job of highlighting any uneven engraving.
-- the bore riding nose is definitely engraved at point #1 but only faint engraving at point #2.
-- I think the line of missing coating at points #3 and #4 is due to the crimp. I don't plan to crimp this bullet when I load for paper, but I was in a hurry when I assembled today's rounds and didn't want to fiddle with the crimp die setting.
-- 100% of lube retained, points #5 and #6.
-- the gas check came off in the water tank. The check was a very tight fit but it seems common for the scouring action of the water to pull checks off, so I don't think it is anything to worry about.

Switching to the GM barrel with a very snug 5 degree forcing cone. Here's the 180 gr. GC with bore-riding nose.
-- minor skidding at point #1. Not surprisingly, bullets skid a little more in the 6 groove GM barrel than in the 10 groove No-Name barrel.
-- to my eye point #2 did not engrave as much as point #1, but the difference is slight.
-- the GC had been pulled part way off even though it was a tight fit.

Here's the 180 BB from the GM barrel.
-- to my eye the engraving is deeper at point #1 than at point #2, but the difference is tiny.
-- both bullets fired in the GM barrel today suffered a large patch of missing coating. The missing coating could be due to bouncing off the side of the water tank, or it could be due to scraping action in the barrel's forcing cone.

Thoughts:
-- I was pleased that all of today's bullets showed only minor misalignment.
-- the Taylor Junior forcing cone may have mitigated the misalignment of the No-Name barrel.
-- I believe the GM barrel has very good alignment, nonetheless some coating may be getting scraped off in the forcing cone. Perhaps the forcing cone is too rough or its opening is too tight?
-- I don't understand the physics of a Taylor throat, other than to speculate that it gives the bullet a little more room to make the turn into a mis-aligned barrel. Perhaps a long 1 degree taper would accomplish the same thing, but that will be another experiment for another day.
What's Next?:
-- I might as well try a Taylor Senior in the No-Name barrel, but based on the minimal misalignment of today's bullets, I'm guessing it will be hard to improve on the Taylor Junior. We'll see.
-- since the Taylor Junior benefited accuracy in the No-Name barrel, I want re-cut the GM barrel for a Taylor Junior.