When manufacturers talk about lifetime guarantee etc I’ve only ever seen lifetime refer to the lifetime of the product, not the lifetime of the user. So the title and the contents of this page seems sensationalist to me. Not saying I agree with what HP are doing either but I don’t think this post is going about fighting it in quite the right way.
If a car manufacturer says they offer a complete bumper-to-bumper warranty for the "lifetime of the product", then if a piston rod has a sudden rapid unplanned disassembly event and destroys the engine in only three months, the manufacturer can say "Well, the engine died, the product reached the end of its lifetime, so the warranty is void."
If the lifetime is "until we end support for that product", they can announce end of support a day after release.
While sure, maybe lifetime of the user might be a bit of an absurd expectation, especially for a subscription to consumables, certainly you'd expect at least a few years, right? This supposed "lifetime" offer lasted less than one year.