I think every tournament prefers avoiding lift, clean and cheat whenever possible. Most people use it to just go crazy and move the ball onto a tee and play from there.
Many players pick their ball up, clean it and place it. Under the rules of golf you cannot move an unmarked ball, you must mark it before you lift it. You also must establish an exact reference point to use so you know where you can place the ball.
If it is that wet, it is easier to use casual water and embedded ball rules and let it go.