Since the speaker is working fine on another computer then that narrows things down to computer at hand.
Can understand that it would be naturally expected that the Creative Soundblaster Z series would support the Harvey Kordon Creative Z speakers.
Take a closer look at the plug (pinouts) between the Creative Sounblaster Z series soundcard and the Havey Kordon connections. Be sure that the necessary physical/electrical connectivity is in place and that sound card is correctly configured to support that connectivity.
Take a look at the laptop's sound/audio configuration. And compare (as best you can) its settings to those of the computer where the bass is going to just the sticks. May find a clue in any differences between the...