Would it?
Don't get me wrong, I agree that it wouldn't solve all the problems. It would solve some. It would create others. Speaking hypothetically.
But would it make the world more lonely? For women specifically (because all the men would be dead).
Somehow I doubt it. Again, speaking hypothetical broad strokes. It would for some. It wouldn't for others.
I tend to think at absolute worst, it will be no worse. There will be a shift in who's lonely, but there won't be more loneliness overall.
I tend to think a sizeable portion of women would legitimately be happier. We'd be free of a lot that goes hand in hand with men. We'd be able to connect to each other again. Without having to worry about our safety every goddamned minute, we'd be able to delight in the world freely again instead of just trying to survive it.
I think you overestimate the value of the male presence in women's lives compared to what would be gained by your absence.
We'd have ourselves, as we were meant to be, back again.
So no. I don't think the world would be 'more' lonely. At absolute worst, I think loneliness would be at exactly the same levels.