"We conclude that virtually no evidence is available from randomized, controlled intervention studies among healthy, noninfant human beings to show that addition of LA to the diet increases the concentration of inflammatory markers"

https://pubmed.ncbi.nlm.nih.gov/22889633/  https://twitter.com/nicknorwitz/status/1346788140871200770

This is in-line with epidemiology

In fact...

https://pubmed.ncbi.nlm.nih.gov/29515239/ 

"Serum n-6 PUFAs were not associated with increased inflammation in men. In contrast, the main n-6 PUFA linoleic acid had a strong inverse association with the key inflammation marker, CRP."

From what I can see, if anything, SFAs are more implicated with regards to inflammation, but ultimately

"Most interventions showed either no or minor effects of dietary fat intake on inflammatory markers in overweight and obese subjects" https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5628471/

To conclude. The idea that omega 6s and to be more specific, linoleic acid is inflammatory, is too simplistic and not supported by the totality of the evidence.

I doubt dietary fat plays a significant independent role in inflammation.