Holy stuff, Yuki, I think you have some issues.
1. That's good reasoning of why it's cheating. You're "playing" when it's impossible, so it's a cheap advantage.
2. Exactly! But you're making that chance higher by faking playing.
3. Yes you do influence it. By playing, you actually DO get the chance. You don't unlock weapons for not playing.
4. That examining is clearly biased.
I don't know half of what you're talking about seeing as you're throwing out a numbered list without any apparent target, so I'll simply respond to your ass-handicapped idea on what influencing a a system based on chance is:
You're not making the chance HIGHER by playing. You ALWAYS have the SAME chance to find something. It's RANDOM.
Influencing it means turning the odds in your favor. You can influence a chess game by killing the queen, or a war by atom-bombing a city. You can't influence something you have no direct control over.
By simply playing more, you have more time alotted in which you could find something, but it's still random. You could do nothing for 4 hours, or play the game for four hours. Both allow you the same time in which you might get something, but you have no say in it. The idle player could find everything and the player nothing. It's not a fair system, it's not a good system. It doesn't decide who gets what based on what they do, it just rolls the dice.
You don't unlock weapons for not playing.
Yes you do, which is bullstuff. I didn't idle because I don't want to play the game. Have I made it clear enough that
I want to earn my items, not have it decided for me entirely at random?
By the way, #4 doesn't make any sense. I suggest you stop trying to combine long words.
Wow, you people don't get it. Even that is cheating, chex.
No, it's not. Stop being so loving dense.
Everyone who didnt idle got an angel's halo hat 
It's ugly, even people who have it can agree
