Is it meaningful to give more weight to the result of monte carlo search with less turn win?

Question

I'm programming on Connect6 with MCTS.

Monte Carlo Tree Search is based on random moves. It counts up the number of wins in certain moves. (Whether it wins with 3 turns or 30 turns)

Is the move with less turns more powerful than the move with more turns? And if so, is it meaningful to give bigger weight to the one with less turn win?