I'm shocked that you guys even consider these mod players with incorrect playroutines. ;-)
The only ones that really work are probably DeliPlayer (which has an awful UI) and uade (which has only a command line version for Windows machines).
I prefer correct playback over any UI, so uade123 cygwin version it is. What a bum deal to have a nice chip module play all over the place with mod4win or ft2 or whatever.
Try this with your player:
Here's how it should sound:
Here's mod4win's attempt:
Naturally mod4win is an ancient piece of sw and better players have been made since, but I chose it to underline how wrong some of these players can interpret modules that rely on the protracker 1.1 replayer features (or sometimes bugs).