On luck and it's role in games, there was a study done into Monopoly (a game uncontroversially revolving around luck) in which a game was rigged so that one of the players got certain advantages over the others. e.g. more money for passing Go, more dice(!) etc. What they found was that the advantaged players were still likely to attribute their success at winning to their own skills! https://planetsave.com/2013/12/23/a-rigged-game-of-monopoly-reveals-how-feeling-wealthy-changes-our-behavior-ted-video/
So even in a game, (which is largely just a glorified Ludo), where luck predominates, and in the most extreme circumstances, people still want to explain their performance with skill rather than luck.
You can see why then in Chess, which is much more about skill, people are even more loath to admit that luck might play a part.
It seems that's just how (some) human beings are.
Maybe 50% luck and 50% skills?
You have luck when your opponent plays an inaccurasie, and skills if you can spot it and punish it.
If you play a bad move yourself, and your opponent doesnt punish it, you have luck.
What Richard Hunter says, that when in doubt the move you chose turns more lucky is a bit luck, and also a bit intuition (skills). Get luck is luck, cash in the luck is skills.