This article is half nonsense. Your statement thst bay leaves convert triglycerides to monounsaturated fats is nonsensical, as monounsaturated fats are also triglycerides. And “fat” is in the name, so claiming you’ll see less fat in the pan with the bay leaf is absurd. I have found no research stating that bay leaves convert saturated fats to monounsaturated fats.
It is true that there are some health benefits to taking bay leaves, including reduction of triglycerides in the blood.
The bay leaf has always gone in the pot for flavor, including meatless dishes such as marinara sauce.