It depends what you want to do. Most of the time it is probably not so important. If you have supply voltage 20V or more it is not so important if the diode drops 0.7 or 0.3V. If motor needs 1A you don't care if diode leakage is 1mA or 10uA. If you want something more delicate such as reverse voltage protection difference between normal and Schottky diode may be more important if the battery voltage is close to your intended operating voltage. OTOH if you build some analog circuit "large" leakage current of Schottky may cause problems.
Another important spec - diodes rated for large current are also large - they have thick leads and they are difficult to stick into solderless breadboard. I even got diodes too thick to fit into hole in protoboard.