Consider this, though - an average National Hockey League goaltender has a goals-against average of 3.00. The best NHL netminder have a GAA down around 2.00. That's one save per game. It doesn't matter where you get it, it's just one save per game. That's the difference between being just "some goaltender", and being one that teams notice.
Think of the psychological effects - even if you don't make the save, your teammates will see the extra effort you're putting in, and say "Wow, we've got to help our goalie out!" Conversely, if they see you give up, it's likely that they'll assume that the game is over - what are your odds of winning the game then? Also, you never know who might be watching you - coaches, referees, and parents talk to each other more often than you can even imagine, and word spreads quickly about the "goaltender who never gives up".
Remember that great feeling you get when you make an incredible save, and the opposing forward slams their stick to the ice in frustration? Do you want them thinking about you before the next game? About how they'll have to make a "perfect shot" to beat you? That's how to do it, folks.
You might not make very many extra saves like this at first. But if you put the effort out, every time (and I mean in practices and scrimmages as well as games), your body becomes used to the manoeuvres and you'll find that you're making more and more saves. Your teammmates will appreciate it.