Anyone who believes that increasing flap angle will always decrease take-off run might like to try taking-off with full landing flap. But please ensure that you have a very looooooooooooooooooooong runway before doing so.
For some aircraft full landing flap will be 30 or 40 degrees and this will give a very long take-off run indeed.
Increasing flap angle towards the optimum will decrease take-off run. But increasing flap angle beyond take-off run will cause it to start increasing again.