First of all, I have provided reasoning for x+1. You have not provided reasoning for x+0 or x+x. All you have done is say I can't prove what people prefer. That is true. I cannot. What I can do is provide a reasoning for an ideal time control: x+1. My arguments are stating that x+1 is ideal and therefore superior to all other time controls.
You said: "In my experience, most bullet players rather look down on playing with increment since it kinda destroys the whole element of flagging."...... Is that a statistical experience or are you just assuming what other people think? Have they tried 30 seconds +1? 10 seconds +1? x+1 chess does not "kinda destroys the whole element of flagging" to me at all. I guess I wasn't included in that poll. I guess I didn't make that statistic chart. If my opinion was not counted, and only the opinions of people who have not played x+1 bullet chess are counted in this statistic, is that statistic accurate in your opinion? And if so why?
Here is a little analogy for x+1: If I don't buy a lottery ticket, I will never win, my chances are zero. If I buy a lottery ticket, I have 1 chance of winning, let's say 1 out of 14 000 000. If I by 2 lottery tickets, I have 2 chances out of 14 000 000. If I buy 10 tickets, I have 10 chances out of 14 000 000. Now, I ask you, is the value of the first ticket equal to the value of all the other tickets purchased subsequently? The answer is no. Because the first ticket improved your chances from zero to 1 out of 14 000 000 which is significant. The other tickets do not improve your chances of winning significantly because of the cost to chances of winning ratio. The first ticket purchases an opportunity while the other tickets merely increases that opportunity by an extremely and practically insignificant margin. It can be argued that the extra tickets are a waste of money. In the end, the day you win the lottery, 1 in 14 000 000 didn't mean anything, and in this way, +1 matters more than +0 and +x.
I'm not a mathematician, I'm just being realistic.
You said: "In my experience, most bullet players rather look down on playing with increment since it kinda destroys the whole element of flagging."...... Is that a statistical experience or are you just assuming what other people think? Have they tried 30 seconds +1? 10 seconds +1? x+1 chess does not "kinda destroys the whole element of flagging" to me at all. I guess I wasn't included in that poll. I guess I didn't make that statistic chart. If my opinion was not counted, and only the opinions of people who have not played x+1 bullet chess are counted in this statistic, is that statistic accurate in your opinion? And if so why?
Here is a little analogy for x+1: If I don't buy a lottery ticket, I will never win, my chances are zero. If I buy a lottery ticket, I have 1 chance of winning, let's say 1 out of 14 000 000. If I by 2 lottery tickets, I have 2 chances out of 14 000 000. If I buy 10 tickets, I have 10 chances out of 14 000 000. Now, I ask you, is the value of the first ticket equal to the value of all the other tickets purchased subsequently? The answer is no. Because the first ticket improved your chances from zero to 1 out of 14 000 000 which is significant. The other tickets do not improve your chances of winning significantly because of the cost to chances of winning ratio. The first ticket purchases an opportunity while the other tickets merely increases that opportunity by an extremely and practically insignificant margin. It can be argued that the extra tickets are a waste of money. In the end, the day you win the lottery, 1 in 14 000 000 didn't mean anything, and in this way, +1 matters more than +0 and +x.
I'm not a mathematician, I'm just being realistic.