It is absolutely important to stay in the present moment.
However there is something to be said for developing the skill of anticipation rather than falling prey to knee-jerk reactions to life.
I worked for many years in the food service industry, and I learned to be successful by demonstrating anticipation for what the guests might need.
It becomes a superpower when you are able to anticipate what might be needed and take care of it, rather than reacting to what has already happened.
Anticipation is gained from paying attention, focusing and really listening.
So, in a sense it does involve being focused on the present moment.
It’s that focus, and then acting on the anticipation that brings you to the level of greatness.