So a Conviction is basically a type of enchantment which says you have 3 fewer life points and trouble getting a job. Now someone managed to cast Reverse Conviction, which exiles one conviction -- it's not even in the graveyard, as much as legally possible it's like it never happened, with the only exception being double-jeopardy laws etc. And the question is whether you get those life points back.
According to the majority opinion, having your life points converted into tokens on the State Government card was part of the ongoing enchantment, and so this ended when the enchantment ended: they should be converted back.
According to Clarence Thomas, it was an instant effect that happened when the enchantment was cast, and the ongoing effects were the other parts of the enchantment. So when it was cast, that was the time when you were "deprived" of your life points; it's not an "ongoing deprivation" but a single event which happened in time. You don't get them back unless another card in play says you do.
(A more full analogy would also include the fact that there is this Exoneration Act card which says "(3) Take a conviction token from the State Government and gain a life point. You may not do this if there is an enchantment which creates these tokens either on you or in the graveyard," and a house rule called Due Process which says that you cannot be deprived of life points without some card in the field of play saying so. )