Neither drug is perfect. Both have a role. here is no simple answer.
The FDA is mainly targeting the removal of acetaminophen(paracetamol) products combined with something else. Accidentally doubling up on the paracetamol component (best avoided) was one problem. The other was people becoming addicted to the "other thing" with the paracetamol. Cafeinne or codeine were the classics. You get tolerance to both of these and in a combination pill the only way to get more was to accept the paracetamol that comes with it. The result is a chronic paracetamol overdose.
This FDA move will make it harder to find mild opiates over the counter (eg coedine)to take with you. They are better controlled as they are easily abused if you don't have the risk of paracetamol overdose. Having coedine even with prescription qualifies as trafficking in some countries (Greece most famously)
Paracetamol is actually very very safe unless it is very mismanaged. People are not scared of it so take lots. Ibuprofen misuse normally gives symptoms earlier (eg gastritis) and you realize you should stop taking it.
The medical reasons to avoid paracetamol are basically allergy and liver failure (you probably would not tolerate Ibuprofen in this case). The patient reasons are its lack of anti-inflammatory effect and preference you might need a slightly stronger drug (eg Ibuprofen) anyway and dont want two drugs. Post surgery they force feed regular paracetamol for its morphine sparing effects.
For years in Australia Ibuprofen was prescription only. Of the long list of NSAIDS it still the only one people are brave enough here to sell over the counter in an oral form. The list of reasons not to have ibuprofen is much longer (impaired renal function,diabetes,peptic ulcer histroy, gastric reflux, asthma….) but if you tolerate it well go for it. "The Arthritis, Rheumatism, and Aging Medical Information System (ARAMIS) system has estimated that more than 100,000 hospitalizations and more than 16,000 deaths in the United States each year are due to NSAID-related complications with costs greater than $2 billion"
Readers of this forum will probably read the instructions on the box (if only to find the weight of each tablet) so we should use them properly.
I would still carry a bit of both for a longer walk. Mild headache (paracetamol), inflamed knee/PMS (Ibuprofen), broken ankle walking out (overlap the two for the additional pain relief due to different modes of action).
If I was climbing something big for a month I would try to find some easy opiate eg codiene or maybe tramadol (less abuse potential…the most prescribed opiate world wide but may be poorly tolerated by some people)