Actually, coconut oil does not contain ANY arginine. Arginine is as amino acid, which is found in protein. Coconut oil is pure fat pressed from the coconut -- it has absolutely no protein and therefore no amino acids or arginine whatsoever. So it is fine to use topically AND internally. Please read here for more: http://coconut-oil-tips.com/remedies/coconut-oil-herpes-natural-remedy-hsv/
The confusion comes from the fact that Ccoconut meat does contain a high arginine:lysine ratio, but this just doesn't apply to oils of any kind.