I've read the first two. Thrones, Dominations isn't at all bad, though you can glimpse the much better novel it could have been (not necessarily from Sayers; she clearly broke it off two decades before her death for a reason). I have it in hardback & reread occasionally.
Presumption of Death I found frankly dreadful; very paint-by-numbers plot, poor characterisation (there's a big plot element which depends on people behaving in an un-public-spirited way which is anathema to LP & Harriet and also people like Puffett, as we saw them in Sayers) and unbelievable death method.
I've not heard good things of Attenbury Emeralds and have avoided.
Paton-Walsh continuations
Presumption of Death I found frankly dreadful; very paint-by-numbers plot, poor characterisation (there's a big plot element which depends on people behaving in an un-public-spirited way which is anathema to LP & Harriet and also people like Puffett, as we saw them in Sayers) and unbelievable death method.
I've not heard good things of Attenbury Emeralds and have avoided.