Maybe it's because the difference in distance diminishes as the clubs get shorter.
I'm a short driver as well, I'm happy with 250 yards. Pros I've played with hit it consistently 300+.
But when we go down to a five iron, I'm at 170-175, they are about 20 yards further, not fifty. One might argue that they are not trying to hit an iron as far as they can, but then, who is? If we need to hit it further, all of us, pro or amateur, take an extra club, we don't swing for the fence every time.
So it goes, 7-iron I'm at 150, the pro maybe 165, and when we get down to wedge there is no significant difference.
Many a time, I've gone off the tee at a short par three with the same club as the pro I'm playing with, even though they can out-drive me by 80 yards.