I use non-originals in our older HP Photosmart. Cartridges are a fraction of the cost using ‘re-manufactured ones:-
Our printer often sits for months unused, then will get hammered.
The printer warns us on first installing that they aren’t ‘originals’ but that’s the last we hear.
Sometimes the odd cartridge will be a bit duff, but given the savings, it’s not an issue. I’ve found some makes a bit hit and miss. Currently using ‘office world’ ones off Amazon. 5 cartridges for less than the cost of 1 original. I like them because they are transparent and you can see you are getting a full cartridge, and can see when it’s nearly empty – not just relying on the printer to warn you – ours was reporting black was low this week, but it went on to print at least another 100 pages – daughter was printing stuff out for college.
We’ve had one instance where the ink had ‘gone off’ – the colour was duff – checked the cartridges and you could see the ‘yellow’ ink inside the clear cartridge wasn’t yellow !