Just an observation to share:
I've been testing choke tubes in my Remington 11-87 12 gauge. I shot 3" Federal Premium #4 buck for these particular tests. I tried all of the factory Remington tubes including the extended Turkey Choke tube. Two choke tubes were considerably better than the rest. Photos of the targets are below. Both of these patterns were shot at 40 yards.
Pattern Master $80 Choke Tube:

Undertaker $20 Choke Tube:

The Undertaker tube consistently had a higher point of impact at all ranges, but a very similar pattern as the Pattern Master at 30 yards and farther. Under 30 yards the Pattern Master ripped a tight hole through the target. The Undertaker had a relatively full pattern at ranges of 15 to 40 yards. What have I deduced from all of this? The extra $60 did little for me. Of course, your mileage may vary.