more modern printers have smarter chips that are harder to reuse and the printers can even permanently brick themselves if it thinks you're using non-proprietary cartridges
Generally some folks will re-use the proprietary cartridge, but manually refill them. In the mid 2000s I used to do this with inkjet cartridges - you could remove some of the labels/wrapper on the cartridge to expose a port that was accessible via syringe, and refill the reservoirs with cheap ink.