I believe HP were the first manufacturer to perfect the inkjet printer in the days when everyone was using dot matrix ones (is yours a 9 or 18 pin one?). The problem that HP had was that their inkjet mechanism had a much shorter life than that of the printer so it was made a disposable item by building it into the ink cartridge. H.P have used this principle ever since. We all know that ink cartridges can be refilled so cheating the printer manufacturers who seek to make their profits, not out of their printers, but their consumables. However when this is done with an HP cartridge, only the ink gets replenished thus the ink jet mechanism may wear out. The reason these ink jets fail may be that when the ink runs out, the heating elements in the ink jets overheat and burn out. I am not sure of this but I have now managed to keep an HP cartridge running over four ink replenishments by being careful not to let it completely run out.
Other manufacturers have subsequently developed ink jet mechanisms which have a much longer life and thus do not need replacing in this way thus when replacing their ink cartridges, all you need is a cartridge full of ink. Of course such manufacturers still make their profits by grossly overcharging for replacement ink cartridges, but third party cartridges are extremely cheap and as they do not need to contain a set of limited life print heads, usually work extremely well.
Thus on replacing an empty HP cartridge a manufacturers one with new inkjets is advisable which is costly, but cheap third party refilled cartridges for other manufacturers' ink jet printers usually work well.
P.P.