I will say, however, that having sure hands, even with a lack of range, probably is more of a psychological boost to pitchers, teammates, and fans. Or perhaps I should say that having unsteady hands is probably more or of a let down to pitchers, teammates, and fans than having lack of range.
Booting a ball hit right to you and allowing a run to score that shouldn't have scored is very noticeable, and can be demoralizing. OTOH, missing a ball due to lack of range and allowing a run to score that shouldn't have scored isn't always obvious. Both cost the team in the same way though.