Yes, poor Tim gets the zappage in both version, but the Uncut version, with it's mention of truth serums and drugs means that Tim would have been put into a state where he was more likely to reveal the truth whether he wanted to or not, he'd have been unable to stop himself.
The Cut version implies that the Joker tortured him until at some level he consciously (if completely understandably, given the duress he was under) chose to reveal it.