The fat in coconut milk should match the fat in coconut oil if overprocessing hasn't changed the profile. MCTs in coconut oil are indeed saturated fat, so all the saturated fat numbers would apply towards the coconut oil contribution in coconut milk.
You'll probably get some of the same benefits, but to a lesser degree, because there's very little oil in it. A can (13.5Fl Oz/400mL) I have in front of me says there are 6 servings to the can. This only contains 9 grams of fat, of those 8 are saturated. Not sure if the 1 gram left is PUFAs or something else, but there's no breakdown that specifies MCT oil.
Even if those 9 fat grams match the same as coconut oil composition, where about half is MCT (as in pure coconut oil), that's only 4 grams of MCT oil per serving -- and we don't know if processing removed more of the MCTs, or not.
1/3rd of a cup is 2.6Fl Oz, so 13.5/2.6 = 1/5th of the can, which is a little bit more than 1 serving according to the label, so I'll just round it off and say you're having 1 serving though it's a little bit more than 1 serving. There's about 2g of carbs there, so that's negligible if you're doing VLC.
My coconut oil says one tablespoon is 14grams, (and matches the same kind of labeling as for the fat breakdown - that is they don't list MCT vs other fats) so you're getting about 2/3rds of a tablespoon of coconut oil.