@Adagio It might very well be an American thing. I think in my first answer I was careful to say in America we tend to come close to the original pronunciation, but in America we also change a lot of things in language over time. My guess was herb is from a language where the h is silent. I’m not sure though. In words like herbivore we say the h.
I’ve heard Gordon Ramsey say steak filet as fill-et as though it was spelled fillette. We usually pronounce words that end in et that are from the French similar to the French; Fil-ā (I hope that’s the right a. Should be what rhymes with day). Ballet would be another word that is similar.