IMO neither is good for chronic pain management. Ibuprofen reduces blood flow to the kidneys which causes (chronically) cell death. Weirdly paracetamol is bad for the liver as you mention… unless you already have a bad liver, in which case it’s somehow the recommended pain medicine? (For responses I’ve unfortunately forgotten).
It’s much harder to address the root issue (speaking as someone who’s taken their fair share of pain meds themselves), but it’s infinitely better in the long term.
Certainly didn't mean to suggest they are, especially not without professional medical advice. (Not just to check the dose or have a different one prescribed, but for a PPI to protect stomach lining from taking a lot of ibuprofen for example.) The non-prescription doses on the packaging are suitable short-term, for a one-off headache or to manage a fever, but continued use (a bad injury meaning your taking it several days even) should be with advice, that might differ.
Paracetamol is world standard for long chronic treatment. It starts tu hurt your liver only on big dosis. Source: FORTA List https://forta.umm.uni-heidelberg.de/
As opposed to what? It's all metabolised by something, choose what you wreck. Take paracetamol routinely instead and you'll wreck your liver instead.