I'll admit right here that the saxophone has always been one of my favorite instruments. I really like the band music of the late 1920's and early 1930's - these guys just got "it" and I listen to this music whenever I can. Especially band leaders like Guy Lombardo, who played for years and always had a bunch of saxophones in most songs. The same goes for Glenn Miller, who used the saxophone along with other instruments in his band to create one of the most unique sounds even developed - bar none! You really should get a CD of either of these famous band leaders and just take an evening to listed. I guarantee - you'll be amazed and extremely satisfied.
Back to the saxophone, in person. If you are truly interested in high quality, free blowing features and a great intonation and, of course, the best quality and rich tone throughout the range of the instrument that you play, these are reasons enough to buy the very best for your precision instrument. And high precision it is. You wouldn't believe that even the slightest quality or design defect in the reed or mouthpiece can have a devastating effect on tonal quality. I've had it happen to me after I bought cheap saxophone mouthpieces. And, I vowed to never let that happen again.
The brand of saxophone that you own really doesn't matter when it copes to quality accessories. Conn, Selmer Eb, or Yamaha instruments function all the same, if you don't start with a quality mouthpiece, then the music won't have a chance to "get its voice" regardless of the quality of your saxophone. The mouthpiece and the reed both work together to form that mellow and edgy sound of the saxophone - alto, tenor or baritone sax, the mouthpiece alone can determine the quality of the sounds that you and your audience will hear. And, more importantly, the sounds that your audience will remember.
That being said, it absolutely, positively stuns me when great saxophone players cheap out and buy grossly inferior saxophone mouthpieces - just for a lousy price break! Then, they wonder why the sounds they hear from those golden, brassy tubes sounds so awful.
Do yourself (and those who listen to you) a huge favor when you shop for saxophone mouthpieces, always buy for the value and the quality of the mouthpiece - you will never regret it!