Feminists actually talk about this a lot, using the term "emotional labor"[0]
It is a bit like how the decline of religiosity in the US has led to a decline in social participation. It's clear to me, at least, that whatever your opinion on these institutions (religion, patriarchy) there needs to be a movement to fix the void in civil society created by their decline.
I think about when I visited the Middle East and how I would often see men on "friend dates", i.e. having a coffee together or relaxing in the park. They would often be sitting close, even holding hands. It made me think about the strange distance men in the US have from each other and how lonely it is.
[0]https://www.theguardian.com/world/2015/nov/08/women-gender-r...
If women worked and men all stayed home, did chores and social networking we would not be lonely again.
I don't think it has much to do with gender so much as "we have less free time." It just shows up as women working, but I don't think women working is the cause, merely a symptom.
On the other hand, travel to somewhere like South East Asia and I didn't seem to notice any kind of loneliness epidemic. Families live closer together and people seem to form small communities where they share things and help each other in other ways. While the basis for my argument is anecdotal, it's a very different place in which people seemed to have much richer social lives.