so that randomness would have an even greater impact on the outcome of games, and the player's skill would have even less?

By the way, a very illustrative example is when they restart games, looking for a favorable starting position.
When there was the first CIS champion in Kyiv, Artem Stinger, he told me very good words: "I play any scenario." And the "great" ones restart.
That's what skill level is.
I would like to suggest changing the rules - restarts are allowed only at the beginning of a block.