Our emphasis is on being 'focused' not fast. I've found that fast results in hurried results in mistakes. 'Focused' actually tends to result in quicker launch times.
That being said it is the borderline weather that deserves and gets the extra minutes of study. I routinely check the weather about every three hours but when paged for a flight I always recheck it. Easy when it's severe clear or zero/zero, but another thing all together when it's right on the edge.
A final note. If one of our medical crew ever pitched a "s#@! fit" over time to launch at one of my pilots they would be temporarily off flight assignment in a New York second subject to review where they would be permanently removed...