Apologize in advance for not listing sources (busy) but my comment can perhaps still be a source of some information for you. The last I'd read up on it, one aspect of Olive (and perhaps, others) oil has to do with additional compounds which act as more specific anti-inflammatory substances. Again, sorry for no source, but my brain says that the recommended daily intake of Olive oil (per "official" mediterranean diet) is similar to ~1/10th a dose of aspirin. There is some speculation that the additional benefits of Olive oil consumption may be related not to just to the fat type but also to the additional anti-inflammatory compounds.

Whether this type of benefit could be replicated (/ is safe) by taking low dose aspirin directly is probably a subject of some investigation. I hope this is helpful despite a my non-cited fuzzy memory.