Does "white moves first" actually affect the game, though? It's just a convention.
Materially, no, though it probably makes it less complex for humans by slightly simplifying the pattern recognition issues, particularly in the opening.
First player wins more than second in chess (because there's a slight advantage).
White goes first in chess.
Therefore, white wins more than black in chess.
However, that conclusion (what you present) is valueless without the context. If you reversed which color starts the game then we'd end up with "black wins more than white in Chess" as a conclusion and your statement would be false. And if there was no specific color which always started, we'd be left with just the first statement: First player wins more than second in chess.
If you reversed the king and queen placement for both players would the advantage be as great?
There is no asymmetry of moves other than the starting position of the king and queen, so all strategy will simply be mirrored if the king and queen are mirrored.
In this sense, it also includes the conventions, skill-level titles, playing etiquette, etc.