That table is insufficient. Some of those drugs are very effective for some types of pain and not others. For instance, aspirin and tylenol were useless with a toothache which needed a root canal, but advil did work. Likewise, Advil was useless for fever-induced headaches, but Aspirin worked. And Tylenol works better for migraines than aspirin or advil.
Do you have references or is this anecdotal experience?