I have an OLD HP Series II, and have used HP cartridges, third-party cartridges and remanufactured cartridges. The only problem I had was with a remanufactured cartridge. The risk with remanufactured or third-party (especially if from the Shifting Sands of Omaha Toner Cartridge Company) is that it will cause you fits after a short while. I've not seen them do any real damage to the printer, mostly aggravation to the user. I guess they could
If you get a remanufactured or third-party cartridge that works out, keep the name/web site of that company filed away.
As a general rule, if it seems to be too cheap to be true, it probably is.