Act III, Scene III: From what we learn from Barachio's account of the deception, was he able to fool the Prince and Claudio? Explain

Borachio and Conrad arrive and accidentally stand within hearing distance of the watchman whom Dogberry appointed constable. Borachio tells Conrad that he earned a thousand ducats from Don John that night because he wooed Margaret in Hero's room and called her Hero. Meanwhile, Don John had brought Don Pedro and Claudio to orchard where they watched this whole scene and became convinced that Hero was committing infidelity. It would seem that their deception was successful.