Soprano Sax Embouchure?

I am an alto, tenor, and more recently baritone sax player, and I just got a soprano. It seems that with a straight neck, pitches low Bb to middle Bb are increased an octave, and with a curved, pitches from low E to middle B are increased. I think it may be the embouchure. I'm getting a teacher, but is there something I need to do with the embouchure for the pitches? I don't think it's technical because it varies with the neck. Also, the reed extends further relative to the mouthpiece than any other sax. Is this an abnormality that could be relevant or normal for a soprano?