Yes, this is the answer. I'm looking at a HP LaserJet 1320N next to my desk that is yellow with age and it still manages to smash out B&W pages at a solid clip. I think it's close to 16 years old and I've bought exactly 3 ink refills.
That being said, based on what people write every time this topic comes up, whenever this one dies I'll replace it with a Brother.