"Do you think maybe Peter deliberately let it be known that he expects to be on the way to recovery..."
I have no guess about that. It is hard, if not impossible, to predict how a person would react to stressful situation.
I do remember him joining one of the threads, and starting one with poetry. In neither of those did he mention his health so this time it is different.
I am only trying to point out that we do not know how Mr. Ledermann would react to our curiosity about his health status. Not everyone responds to that in the same way so I would suggest erring on the side of polite distance.