It depends on what the meaning of "is" IS . . . oops, I mean "chamber" is. I've always thought of a mouthpiece's chamber as the area inside the mouthpiece before the saxophone's neck. I suspect some folks mean the size of the opening into the neck-receiver. It never has been resolved, at least to my satisfaction.
SO, if you truly mean the entire inside of the mouthpiece until the saxophone's neck begins, then . . .
I'm one to question the overall effect of chamber size; for one reason, as an example, I doubt that many here (with the exception of true mouthpiece experts and refinishers) have ever measured the inside of their mouthpieces to actually determine their size compared to others. For example, I have two Meyer alto mouthpieces marked "Medium Chamber" and the other "Small Chamber". To my eyes, they look alike. If there is any difference, the one marked SMALL CHAMBER may have a slightly larger opening to the neck-receiver than the one marked MEDIUM CHAMBER, but maybe not. Hard to tell with a simple look-see.
There has been lots posted about large-chambers, etc., etc., especially when it comes to vintage saxophones. My experiences have shown me that my vintage saxophones play better for me with modern mouthpieces but I'm not able to tell you which one has a larger chamber.
As to baffles? There's another slippery issue. It may be easier to define a mouthpiece's baffle than its chamber-size. But honestly, when I test/buy mouthpieces (and I've done a bit of it in my time - and have boxes filled with them), I've never made a decision about whether or not a mouthpiece had a certain baffle design or size. I played the thing and if I liked it, i bought it. Other times, i bought them on reputation and either kept at them or put them away - not based on anything but how they played for me.
So, be wary of some store clerk or so-called expert who tells you one mouthpiece has a large chamber while another doesn't. Have him show you exactly why he says that. It is like bore size to me -easily talked about, harder to prove.
To answer your initial question, though, I think you should experiment with as many mouthpieces as you can. Most will give you different results, and what others experience may not match your experience. But be sure to also experiment with various reed strengths, cuts, and brands. If you can't try mouthpieces somewhere, at least do the reed tests. A different reed can make a huge difference. Stand by for the rants because I'm sure I've stepped on someone's precious beliefs here. DAVE