Excellent product but blackmail warranty if used non-original cartridge HP

Choosing the paper if large color surface, otherwise warping.
Always the same policy of HP to retain the monopoly, and each new printer you are entitled to a specific cartridge shape model.
HP printers should offer us that we pay several times in HP ink cartridges.
I am curious that a chemist gives us the composition of the inks of different HP cartridges and the price per liter in the case of same product for multiple HP printers
So could we choose based on the number of pages to shoot with the same type page for all HP printers