By himself, I don't think it will do much for a couple of reasons.
- Putin is held up by a power structure and that power structure is invested in itself as well. Thus, the policy line is likely to continue to not discredit the power structure.
- Let's say Putin does go and the next leader/crew takes over, they would be making the decision to be the "loser" in the war which as a general rule never goes down well domestically anywhere.
- On the flipside, him leaving does provide whomever a fall guy.
I'm not sure if this is a good thing or a bad thing (probably both), but I'm beginning to feel the war only ends with a clear defeat on the battlefield and most of that is likely due to Ukraine's take on things. I don't think the atrocities are fake and I think Ukraine understands they will never be secure going back to status quo...so just as well decide this thing once and for all win or lose as losing isn't likely to be too much worse then where they are at right now. Finally, I think the west is all in on the war and it knows it has to be up to an including dealing with nuclear weapons if Putin goes there. This provides a huge, most likely one time shot, at having this much collective support.
Henry Kissinger has been hitting the rounds lately and he's worth listening to on this stuff. It's kinda painful because he is really old, forms his thoughts and speaks slowly but mentally he's definitely still there and is one of the few remaining statesmen who used to eat situations like this for breakfast on a daily basis (e.g. nuclear weapons, geopolitics and geostrategy).