You cannot tell how much is luck vs skill because you cannot decide to spawn in late. You cannot tell when you spawn in versus other players unless you have the spawn times for all other players in the match. When you suggest "just have them spawn late" you are suggesting this can be controlled by the player when it cannot. Thus your claim that you can separate luck from skill is not correct in this case. In addition the other factor here would be of course spawn time which is neither a function of skill or luck and thus your suggested test is not properly isolating all the factors needed.

As you cannot isolate skill because of the inability to determine luck your assertions are not based on sound logic.

The rest of your thesis compounds on this fundamental error.