There is minimal value to eating coconut oil if you also consume normal amounts of carbs. The daily limit for cards in a nutritional ketogenic diet is 30 to 50 gms. Getting close to 30 gms is best. The rice and oats alone blow past the 50 gms level so entering any amount of ketosis would be rare.

The anti-inflammatory benefit from coconut oil is minimal. Omega 3 fish oil has more anti-inflammatory value.

Here is an article about MCT's and coconut oil. Note that MCT's are of little value until you enter a state of ketosis.
What Is MCT Oil Really? MCT Oils vs. Coconut Oil Explained

For those who want a bio-chem lesson on ketosis, here is an interesting 3 part article.

Ketosis – advantaged or misunderstood state? (Part I) - The Eating Academy | Peter Attia, M.D. The Eating Academy | Peter Attia, M.D.
Ketosis – advantaged or misunderstood state? (Part II) - The Eating Academy | Peter Attia, M.D. The Eating Academy | Peter Attia, M.D.
Ketones and Carbohydrates: Can they co-exist? - The Eating Academy | Peter Attia, M.D. The Eating Academy | Peter Attia, M.D.

These articles are real brain exercise.