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[RWBY x Puchimasu!] PuchiRWBY III
No, this has nothing to do with RWBY Chibi at all.
Neo - Poli-tan
Emerald - Emmy-chan
Cinder - Akiko
Glynda - Glyn-chan
Penny - Penshi
Winter - Schneefuyu
Winter's line is referrence to the infamous dialouge when dealing the unexplainable from the Puchicolle series.
"If you think too hard, you'll lose." -Teito Kuu.