I will admit that I should give it some time before drawing too many conclusions but my experience has been the opposite.
I was slowly killing my edges with my strop technique (NOT the strop) on the Tony Miller 2" travel strop. I just received a 3" latigo and gave it a whurl and most of those edges saw an improvement after 20 or 30 passes, just now. I couldn't perform a shave test yet, I don't know for sure BUT I've calibrated my girlfriend's hair to a pretty useful HHT and those peckers were falling left and right.
I am not used to the straight up and down pass though, and found myself going X pattern by habit.
Like I said, we'll see. But I may be selling my Tony Miller Travel strop, comes with cotton, latigo, and horsehide in 2".