In the very unlikely scenario that Putin does get deposed and captured, I hope that the Dems are way to the right of Atlas Dems on this issue. Imagine how easy of a layup it would be for the GOP if a faction of Dems was protesting the execution of Putin
...I mean, in this scenario either he's tried by the ICC, which doesn't have the death penalty, or he's tried by a new regime in Russia. Russia currently has a moratorium on execution, but if a new post-Putin regime were to lift it that would be a domestic political decision and I doubt Democrats would care much either way. It would still be a wrong decision and would make me somewhat question the intentions of the post-Putin regime, though.