Lenard,
I remember a review comparing custom thinwall chokes and resulting patterns that included both Briley and Teague.
Tests were with factory brands of target ammo on target guns.
As I remember Teague tends to make their chokes, at least the custom thinwalls, with a more parallel final section than typical american companies like Briley.
The resulitng patterns that they got showed that the teague chokes would give a more uniform pattern (little or no "sweet spot") where the Brileys would give an excllent pattern but with a more concentrated central sweet spot. Their conclusion was that both were excellent products of equivelent quality but with different approaches to the design giving different results.
The comment was made that this difference in design was likely due to the historical American preference for a sweet spot in the patterns of target guns while many Europeans preferred a consistent density across the shot pattern.
I know that my gun with the teagues gives a nearly uniform and consistent pattern similar to their test results and definitely LOVES my shells with slow powders (It probably likes fast ones too but that isn't what I load).
I don't know how that would translate to different types/sizes of ammo. You might want to try comparing the results from an aftermarket teague choke with a Briley to see for yourself. Should be fairly easy and not too expensive a test.