Sorry, I didn't explain myself well enough. I mean start with the maze completely filled with water such that there's no pockets of air left, and water pressure

Sorry, I didn't explain myself well enough. I mean start with the maze completely filled with water such that there's no pockets of air left, and water pressure is sufficient for water to race through continuously. Then introducing a distinct dye. The difference would be that it would have far less turbulence from splashing/pooling.