You're wrong about one this, it was not logo AS, it's seal made by Adolphe sax to identify this own Horn that he made, if you've got one little default of the seal, it's True Adolphe sax Horn, because it had voluntary developped one little default, to be sur that it's True Adolphe sax.
It has many "fake Adolphe sax" but it existed very very old fake Adolphe sax, Adolphe sax had exclusivity on sax during praticaly this own life but they're adolphe sax without AS seal and that is faking.
I talk about an expert of the story of Adolphe sax Horn and big collector and it said me that.
I don't know if it's totally True but it's interessant.
I've got my c soprano Adolphe sax and for you it's probable Horn by the son of Adolphe sax, before 1928, maybe 1910-1920.