I don't have any data to really contradict you, I am mainly talking about the rhetoric around it because major use of "male loneliness epidemic" as a phrase has been at least in my view, as a way to create and more traditionalist society where cis het men have access to sex and emotional labour of one person, their wife, at all times. I have never seen anywhere that people are talking about creating door to services like dropping pamphlets for neighbourhood game nights or local club activity, loneliness is a problem, gendering the rhetoric of loneliness (not saying that statistics are a lie but that calling the problem of loneliness as a particularly men's issue is bad faith) has been only to say "bring back the traditional system" I see people mainstream leftist podcasts talking about "back in the day the left over men who couldn't have a family were sent for exploration then they were sent for war, now we don't know what to do with them". There's never a conservation that maybe the focus on family alone and marriage alone as a source of companionship has been the reason for all the loneliness in the first place.