1) That luck factor is a subjective rating. It's not like there is an algorithm they use to calculate it.
2) The better way to assess how luck affects a game is to look at the highest ELOs in that game. In a game that is highly dominated by luck, the highest ELOs are in the 400s, with maybe one person in the 500s. Then there are games where the highest ELOs are in the 600s and 700s (like Wingspan). Even when the game involves randomness, these players aren't simply getting lucky. They are thinking about the game on a different level.
3) FrankJones's post above shows the level they are thinking at, and they aren't even one of the elite players on here (no offense).