Hi,
Don't know about your 737s, but on our CFM A320 / 319s unless the runway is slippery, or the procedure requires full reverse, we routinely only use idle reverse on landing and auto brake. More reverse keeps the brakes cooler but makes lots of noise. The stopping position would be identical, because the autobrake modulates to maintain a predetermined decel. rate.
How short and slippery are your runways?