It seems to me that banning red rushes already negates the first player's advantage over the second. Unless they are running around in the same zone, and the first player, due to the advantage of having one turn earlier, manages to grab some artifacts.

There will be no such ban in WGE. There will be no artificial bans of any kind, since everything can be set in the game itself. Without chains, where will the red rushes come from?

And the first player's advantage is not only in red rushes. The first player has half a turn more. This is the tempo, the advantage of white over black in chess. If the first player attacks on their turn, they effectively have an extra day in reserve (an extra turn, an extra building, extra resources, etc.). And this is especially important if we are talking about fast game times (where the relative weight of each individual turn is higher).

Added 19 minutes later
However, this point concerns hotseat or online Multiplayer without simultaneous turns.

With simultaneous turns, it needs to be considered separately in connection with the bug of switching to turn-based mode. Perhaps, in this case, the second player no longer needs an extra building.