How fragile is the iPhone 4's screen?

I'm talking about the original one that came out about 2 years ago. Ever since I first bought it, I've always had a screen protector. As of now, the screen still looks like it just came out of the box! However, my current screen protector has been a pain and has been stick out and is on the verge of pretty much peeling off on its own. So I decided on just removing it. Should I've just kept it on? Should I go and get a new one? I've heard from both sides, and both say the exact opposite of the other. Either the screen is super durable or the screen is super fragile. I realize that despite if it is in fact durable if I drop it it will most likely do some damage. Now, let's pretend that I never drop it. Will I need a screen protector still?

The iPhone screen is quite fragile. It breaks and scratches easily. I would get a new screen protector if yours is already coming off.