I think the short answer is that inflammatory conditions contribute to but do not likely cause AF. There is insufficient data clarifying the actual role of inflammation and we know of no therapies specifically aimed at reducing inflammation that would/could reduce AF burden. [Ironically, I developed transient ulcerative colitis as the result of using ibuprofen regularly]
Sepsis and other systemic infections are obvious standouts, but like all other disorders, including non-inflammatory conditions, keeping the diseases under control as best you can is just what the doctor ordered.
Rheumatoid arthritis is a disorder that has a known and significant association with AF, but more so in regards to coagulopathy. However, there is no data to support an increase in the CHADSVaSc score based on its presence. Most patients with RA get a CRP every 3 months and to know it is consistently under 10 is definitely reassuring, especially if their CHADSVasc score is on the fence. I attached a very nice review on the topic.