Sax is the easiest to learn because of fingerings, yes. For a clarinet player, the biggest and most important difference is not so much in the embouchure as in the air stream control. The sax needs a dead-center airstream, as opposed to the clarinet's high-aimed stream. VERY important for tuning, which is fickle on the sax, yes, but there's not so many well-known fingerings for adjustment, it's all done with embouchure and air.
And as for sax being the easiest of all woodwinds... Speak not of what you know not, Alberich. There's nothing any woodwind can do that the sax can't, and without the intonation problems. We seek to master greater and greater ranges that our horns weren't made for. And how about multi-phonics? Ours is a discipline of infinite potential, and no standard of excellence to let us mire in mediocrity. And as far as the history is concerned... The first saxophone virtuosso was hired as a saxophone soloist, conductor, and doubler on lesser woodwinds for the Paris Operatic Symphony in the 1860's, after he won the Prix de Rome at the Paris Conservatory. He also wrote over two-hundred solo pieces for the sax, some commissioned by Adolphe Sax himself, yet only two survived. In summation: you may be proud of your snobbish ignorance, Alberich, but ignorance can hurt, and I'd make sure of that if ever we meet. Take care.
Saxophonist and doubler of 12 years