Yes i took the same from that statement they want to make it VERY clear that it's all the menopause and not Paul that led to Nicola's crisis .Reading between the lines with the family's statement it seems they support the police's decision to release the information about Nicola because of the online speculation as well as the threats to sell stories.
The statement also seems to be supportive of Paul in my opinion. They're pleading with people to stop speculating about their life and relationship.
It felt a bit like saying we don't mind saying she had women's problems but to say she was drinking is crossing the line.
The police and welfare officer that attended the incident at home on the 10th though I doubt would be their just because of the menopause.
(obviously I could be wrong)