I guess I think in a way, whatever "luck" happens is the result of you -- you can sort of pick your odds depending on how much you understand the position. So if you are only 75% sure of something you just have to accept what happens whether it's good or not, because you are the one who put yourself in the shoddy "75%" position when with more understanding you could have been 100% sure. That certainly doesn't happen with coin tossing. You don't "pick your odds" there.
Whatever "luck" happens is not the result of you - it's the result of your opponent making mistakes. You have some limited control of this (like trying to complicate the game) but very-very limited. The rest of your opponent play is out of your control - just like coin tossing.
It's an illusion to think that we can make a concsious choice between 75% and 100%. Because no human can achieve 100%. You can improve your chances by proper training, good sleep, concentration during the game. So it will go up to 80%. But from time to time you will loose to weaker players and win against stronger ones - because probabilities of those events is far from zero. On large number of games it all evens out and our rating corresponds pretty well to our chess skill. But when just one game decides who wins the tournament or gets promoted etc. - there is quite a big share of chance/luck involved.
I actually don't disagree. I don't think it's 100% skill, but I think the % of luck is insignificant to the point where it's like saying golf is a little bit of luck because out of the zillions of ways a beginner could hit the ball, they might "just so happen" to hit it the right way.
The amount of luck involved in a game of chess is something we can not measure. I agree with you that if I play against a GM then the amount of luck will be insignificant, almost zero.
But when playing aginst someone that is your same level, then it increases. How much? I don´t know, but I wouldn´t say is insignificant.