Yes, I think you are 100% right. On the sax large jumps are super hard because there are so many modes of resonance to choose from and they all 'work' to some extent. If the instrument already has a strong preference for one such mode you can hit it flawlessly no matter where you come from. > 1 octave jumps on the sax were always hard for me no matter how much I practiced especially when going up I kept getting the weirdest (and sometimes pleasant but hard to reproduce) sound effects!

Oh yea, once you learn how to do it, it sounds real fuckin' good

It just takes literal years to learn how to do something on a clarinet that is just pushing a button on most other instruments