The shows major strength was being incredibly funny (Paul Dini's episode of "Batduck and Decoy (the Pig Hostage)" being a highlight, and an early taste of what was to come in BATS), and, in true Looney Tunes style, mocking themselves as much as anything. Most of the characters were based on a classic characteristic signature personality traits(Dizzy Devil - Taz, Plucky - Daffy) etc but yes, they had their own personalities, thankfully.