There are two machine guns. One fires 100 rounds per second and the other fires 200 rounds per second. If both are fired at a target for one second, would one gun fire twice as many bullets in to the target than the other?.
The analogy doesn't line up to light, though.
A machine gun firing twice as many rounds per second would be like a star giving off twice as many photons/second. Which isn't what you're suggesting. You're suggesting that one wavelength would travel faster than another.
You could phrase the question, "If there were two machine guns, both firing at the same rate, but one which fired bullets that traveled at speed X, and the other fired bullets at speed 2X, would the targets have the same number of impacts, or more?"
The answer is that while the first impact would come from the gun whose bullets travelled faster, after that the rate of impact would match up perfectly. So basically, no. The second guns bullets would be more spread out (in space, not time) on the way to the target, but you would have the same number of impacts/second. That number would be dependant not upon the speed of the bullets, but on the rate of fire.
Don't take my word for this, though, I think I'm right, but I just thought about this in my head, and could have made an error. Work through it yourself.
But as PixyMisa points out, I don't see what this has to do with redshift.