If they have announced a shut down date and given everyone due notice, it would appear that they are not planning to short change staff on entitlements.
The more usual practice is to go into receivership when everyone's salary is a month behind and often superannuation six months behind.
Check your super account. If it is up to date you would have no justification in calling in sick just to screw them around. If it is not up to date, tell them to sort it, and if they don't, advise the ATO.
Even if you think they are a bunch of pricks, remember they have customers still reliant on their service. Calling in sick is not the way to finish up. All that achieves is inconvenience for your work mates who have to cover for you. Go with your reputation intact. You will be competing against your peers for your next job, and you never know which of those peers may one day be in the hiring and firing seat.