Trouble is, however you deal with it, there is no allowance for fatigue days in the JQ EBA. To agree to, or allow the use of fatigue days is implicit acknowledgement that fatigue can occur with normal rostering.
If you want to still be paid, you must still apply for and use your own sick leave to cover what could ostensibly be caused by your employers rostering practices.
If I am unfit, I never say why.