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Trad V (long arm) will be stronger than Mini V .. on road bikes with drop bars the choice is down to what lever, brake combo due to cable pull.
Mini V will work with most drop bar levers; Trad V needs special levers like these: http://www.chainreactioncycles.com/tektro-rl520-drop-bar-brake-levers/rp-prod34840?gs=1&gclid=Cj0KEQjwms-vBRDlsM7utpaJ47ABEiQAIpKjTNfpOLPsCKGNFI4FJMoL69-6T39cP-uTdgbbulH1FbcaAi6L8P8HAQ&gclsrc=aw.ds
Is there a braking difference between mini v, and traditionnal v brakes?