It is too simplified a proposal to say if such an approach is the right way to go.
It depends on the opponent, their pitching style & the offensive team
Do they usually pitch backwards? Then yes, take till strike one sometimes but not always. If they are constantly dealing with get ahead 1st pitch fastballs I want to hammer that pitch. If a pitcher has great movement to their pitches I want our hitters to take the 1st pitch quite often but not always, it depends on the individual hitter, how well they are seeing the ball lately, what type of pitches they hit best etc etc, there are so many scenarios at play in any given at-bat. If a pitcher is a great fastball pitcher and is starting to tire you want to jump all over that 1st fastball you see.
Coaches & players constantly adjust. If I hit a double off of your 1st pitch fastball in Inning 3, I'm betting I'm going to get pitched backwards in my next at-bat etc etc