After spending 18 years in a field that involved a lot of oral history, I came to believe something very strongly. If you hear a story of the same incident from two people, each telling how they honestly remember it, you will end up with three stories. One person's truth, the other person's truth and the real truth which is the hardest of all to find. It is not intentional but that's what happens.
In this case, what the real truth is could be many things. He could have smoked something with burley and deer tongue and other tobaccos as well but the burley and deer tongue were what stuck in someone's mind. He might have tried the blend once. The blend could have been a gift from a friend and he said he liked it so as not to hurt their feelings. He could have been buying the blend as a gift for someone else.
While the picture from his autobiography mentioned by hunter, is good evidence, there is the possibility that tin of Hayward Mixture was a one time thing. Unless someone somewhere comes up with a letter from Crosby listing his favorite blends, or something along those lines, it will all just be conjecture.