Not really.
If you play 150 games and get 600 PA, one quarter of your plate appearances are in the first inning. And if you are hitting behind two hitters with a .380 OBP and a .350 OBP, you would come up in 40% of those PA with 2 outs and no one on base, which gives you 60 PA on the spot with two outs and no one on base.
That's just using straight OBP, and what it doesn't account for is for most hitters, OBP goes up with multiple plate appearances against a pitcher. This is obviously in everyone's first plate appearance of the game.
In fact, the old school logic for using a high BA hitter in the #3 hole was that he was supposed to reach base in front of the cleanup hitter if the first two hitters didn't.
This is also sort of along the lines of the opener strategy. That idea was to use a better/best RP against the better hitters in a lineup rather than saving him for later innings when who knows who is coming up. Put those better hitters against a good releiver, and then against a starter/bulk inning reliever when they have another "first PA against"...