I'm not sure about Wild Mountain Honey FO as I have never used it. I suspect it is not the same. BB Wildflower and Honey is one of my favourites. It is a dupe of L'Occitane Honey and Propolis. Works perfectly in my soaps and is a sticker.
I had to chime in because I was a huge fan of Peak WMH. It was the only scent I ordered from them and because I ordered in large sizes, I only just recently discovered that they are no longer in business. All that to say that in my opinion, Brambleberry’s wildflower honey IS the same fragrance! I have the two bottles here and I can’t really distinguish any difference between the two.