Bombs help you learn the game more quickly. Once you can nail an 1cc, you are good enough to attempt a no-bomb run. Crawl before you walk, etc.
Nothing wrong with handicapping yourself but you might give up on the game due to frustration. Use everything at your disposal to reach the end, THEN you start handicapping yourself for a challenge.
With nhearly every shooter you should learn how to get through every single part of it without bombing. That doesn't mean you should stop yourself from using bombs if you make a mistake, that's just going to severely limit you.
Well the only non-doujin 1CC I've ever done was Dodonpachi and I had never felt that disapointed before. Somehow I didn't felt like what I just did was good, in any way, shape or form. Sure, I was kind of proud, but looking back on it it wasn't that good.
What I really wan't is to feel like what I'm doing is good, not perfect or amazing, but I need to feel that I'm actually mastering the game, with bomb that easy to use, the only thing I'm thinking about is bombs. When to use them, when not to use them, what to do when no more bombs in stock... So every move I do feels rushed, like I didn't really think about it. Nothing feels really good, sometimes when I'm in great shape I will play ok, thats why I keep playing, but most of the time...
Well, just to make my point, I played quite a few games this afternoon, whithout using bomb once, and on 5 different games. It really did felt different, not only was I focusing on the game like never before, but I did great (well, thats what I think anyway) right off the start. I reached stage 5 in Gunbird 2 for the first time despite the fact that I didnt touch the game for month, and everything felt really clear, I actually had a lot of fun.
Now I'm not saying any of that was mindblowing, but for me, having found a way to really appreciate what I'm doing certainly gave me some confidence, and if I can keep it that way I'm sure that it will bring much more progress than playing games in a way that makes me almost dislike them.
I've always hated both Espgaluda games. I played Espgaluda II for half an hour and it was awesome, I did my best to survive and reached the stage 4 boss, not bothering about bombs, just dodging and shooting. Sure I might never finish the game that way, but I'm playing for myself, and all I wan't is to enjoy these wonderful games as much as I can.