The manufacturer warranty would be voided if the ink cartridge itself caused the fault with the printer. In such case, the consumer guarantee under the ACL still applies, not to the printer manufacturer but the manufacturer of the printer cartridge.
If a non-OEM cartridge caused a fault in the printer, then the non-OEM printer is responsible for the damage caused and costs associated with the repair of the printer. It is covered on the ACCC website here:
If the printer had a fault from something unrelated to the ink cartridge, then the manufacturer warranty and consumer guarantee under the ACL still applies, and the printer manufacturer is responsible for resolving any warranty claims.
