An early draft of the communique said that "those whose continued presence and participation would undermine the credibility of the transitional government" - Bashar al-Assad, in other words - should be excluded but that wording was gone from the final document.
So Russian Foreign Minister Sergei Lavrov said he was delighted with the outcome, since "no foreign solution" was being imposed on Syria.
Meanwhile, the Syrian National Council, the most coherent opposition group, said it would reject any plan that did not include the unconditional departure of Assad, his family, and his close associates.
Assad himself told Iranian television that no amount of foreign pressure would make his Government change its policy. And on Friday, the day before the Geneva meeting, an estimated 190 people were killed in Syria, most of them by the Government.
Assad's regime has now killed about as many people - 16,000, by last count - as his father did in suppressing the last revolt against the regime in 1982.
He must take hope from the fact that his father, in the end, terrorised all opposition into silence and ruled on until his death in 2000. Assad may win, too - and besides, what choice has he but to fight?
So many people have already been slaughtered by Assad's troops and their Alawite militia allies that there is no forgiveness left among the opposition. There is so little trust that a negotiated handover of power could not succeed even if Assad wanted that. His only remaining options are victory, exile or death.
It bears repeating that this is not how the Arab Spring ended up. It's just how Syria has ended up, after eight months of non-violent demonstrations in the face of extreme regime violence gave way to armed resistance. The other Arab revolutions have not been drowned in blood (with the exception of Bahrain), and some of them, like Tunisia's and Egypt's, have already wrought huge changes. There's even another one starting up in Sudan right now.
Two things make Syria different. One is its extreme religious and ethnic complexity, which makes it hard for protesters to maintain a united front against a regime that is adept at playing on inter-group fears and resentments. The other is that Assad heads the Syrian Baath Party, an utterly ruthless machine for seizing and holding power that copied much of its organisation and discipline from the communists.
Why then, would we expect it to behave any better than its former twin, the Iraqi Baath Party that was led by Saddam Hussein? Even the party's role as the political vehicle for a religious minority was the same: Alawites in Syria, Sunni Muslims in Iraq.
So if you were wondering how Saddam Hussein would have responded to the Arab Spring, now you know: just like Bashar al-Assad is responding.
How long will the killing in Syria last? Until the rebels win or until they are crushed. Are they going to win? Nobody knows. Will the neighbouring countries get dragged into the fighting? Probably not, although Lebanon is seriously at risk. Can Kofi Annan or the UN do anything about this? Not a thing.
Gwynne Dyer is a London-based independent journalist whose articles are published in 45 countries