Just out of interest, Otto Langey, in his tuition book for the saxophone says,
'The lips must be drawn over the teeth to prevent them touching
either the reed or the mouthpiece'
He also says
'Do not inflate the cheeks when forcing breath into the instrument,for the result is distorted features and bad tone'
statement no 1, I dont think I know of anyone who uses this method now, His book was written many years ago.
statement no. 2, still stands the test of time.
I find when I am playing (I was tought to roll the bottom lip over my teeth) now, I find it more comfortable and effective to unroll the lip ( I do this without noticing most of the time) and use a more 'pucker' lip position.
I think most proper sax teachers would specifically advocate not doing this.
(proper = one who actually plays sax rather than a clarinettist who knows which end to blow in)
But there probably are as many acceptable embouchures as there are sax players.