^^good question...i do not know the answer, but based on phonetics, i would guess so.
CADBEANS--there are MANY kinds of shochu...make sure you get the clear one...if there is yellow, it has a strong smell...and thus a strong taste, which is NOT present in the chu-hi...get the buckwheat, which is clear....my personal favorite for a nice clean taste is IICHIKO or maybe just ICHIKO. it is about $9 a bottle, and mixes well.
or you could go vodka, as some places do...if i order "lime chu-hi" at a restaurant...and they say "lime sour", i know that it is vodka instead of shochu.