The pipe that allows water out of the skimmer may not be able to flow enough water out and the skimmer might just constantly overflow. I'm confused, how does the skimmer have a venturi intake? The venturi comes before the pump and as water rushes through the nozzle a pressure differential is created and air is sucked in, and finally chopped up by the wheel (wheels range from standard, to pinwheel, to mesh). ALL of these parts have an impact on air intake (usually measured in lph), water intake, bubble size and amount, and overall efficiency.
Is it possible the larger pump would increase performance? Yes. But unless you have the tools to measure the air intake and some way to base the performance change it's probably not worth the hassle.
As for the pump having any negative effects? None that I can think of other than it just might not work well and larger pumps generally draw more power.