There's been some research from my alma mater that it might have had water even that early [1]. I haven't seen good data on the estimated temperature during this time (it was hot certainly, the question would be how frequently were there pockets where hyperthermophiles would be able survive). I like this paper's approach [2] - they end up with a small chance of life before the impact.
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Wouldn’t the (pre Moon) Earth have been pretty hot after formation and probably no water either?
There's been some research from my alma mater that it might have had water even that early [1]. I haven't seen good data on the estimated temperature during this time (it was hot certainly, the question would be how frequently were there pockets where hyperthermophiles would be able survive). I like this paper's approach [2] - they end up with a small chance of life before the impact.
[1] https://archive.is/NZwpJ
[2] https://www.liebertpub.com/doi/pdf/10.1089/ast.2005.5.154