I'm sorry, but I've got to throw some insight on to this thread.
I know this site caters to everyone from ultra-n00b to top level competitor, so you can't lay everything out all at once, but this is such an often-asked question that I believe it warrants a complete response.
As Squeak said, signal-to-nose ratio has nothing to do with gain (fancy word for how much amplification the amp can do, or "how loud it gets" in a given system), it has to do with how much gain you get for every decibel of noise... obviously, the higher the SnR the "better" your amp will sound.
The problem with the industry is that no one can decide how to measure signal to noise, and even though they have standards, some manufacturers straight up lie.
The complete answer is: yes it matters. With subwoofer amps, it matters a tiny bit. With a 4ch you're gonna drive your components with, it matters quite a bit more. I wouldn't buy one amp just because it's listed SnR is 1 or 2 db higher than another, but it should be one statistic out of many that give you a better idea of what you're buying. A rule of thumb I've used is to ask people that you respect, and that have a trained ear, which amps sound better than others; if you get a concensus from a few people in the know, you can probably bet it sounds good. Buying just based on published stats is very risky, imho.