I feel uncomfortable commenting on the case at all because I dont know the full facts and the outcome was so tragic.
However, I would like to comment on the general question about whether men can get a form of 'male PND'. It is is an interesting one and have read studies with findings similar to the one that BarbarianMum wrote about. I also agree with others who say depression is not purely hormonal. I am pretty sure that PND in women is brought about by a combination of factors and so it is likely that male depression after birth is a combinatorial issue too.
From my own experience, I can definitely say I did not suffer 'male PND' but yes like many men I did experence lack of sleep, a massive change in the relationship with my DW, sudden feelings of overwhelming responsibility for my family, guilty feelings after witnessing a difficult birth, lack of anyone to talk to about how I felt. These are typical experiences for men after a baby is born. In general, they are the kinds of factors that are commonly known to trigger clinical depression in anyone and a man who perhaps has an innate psychological vulnerability might well be affected.
Men are known to have a higher rate of certain types of mental illness and suicide than women so perhaps depression in men triggered by by the birth of a baby is an unrecognised problem. Marriage breakup or abandonment after a birth is perhaps a manifestation of that too.
Of course, I recognise women have a huge physical trauma and a range of different psychological pressures to deal with after a birth so am not making any comparison between PND and male depression after a birth.