Alright gang, I tested the premise thoroughly, but the game will not be cheated. Simultaneously reclaiming and reseructing a wreck is a zero sum game. The bars at the top of the screen may show that you are generating metal income from reclaim, but that is a lie. Up until a wreck is at 100% reclaim remaining, the athenas are pushing the player's actual metal, not just energy, into the project which doesn't show up in the stat bars. From a 4k paladin wreck there will never be more than 4k metal reclaimed. However, if it matters to you for whatever reason, the imaginary metal reclaimed during this constructor/athena tug-of-war does show up in the end of game trophy award.
As a side note to Sparkezel, a resurrected unit does not leave behind less reclaim the next time it dies. I killed my own resurrected paladin the same way 3 times in a row and it always left 4k reclaim.