Inverted: Sam, who has friends and family, choses to spend the time alone.
Jill and Sally were keeping Jack in the dark because some friends came and wanted to surprise him.
Jack, Jill, and Sally wind up feeling lonelier when trying to hang out with each other, more miserable trying to make awkward small talk with total strangers than they would be if there was nobody else around.
But Jack didn't really like them, and sneaks off as soon as he can, and Jill and Sally, shocked at what his "friends" did, stay to commiserate.
The three of them seem to be awkward and miserable, until they finally find they have something in common, starting to open up to each other.
Parodied: The lonely people are also Large Hams, and loudly and melodramatically bemoan their loneliness.
Zig Zagged: ???
Averted: Everyone has friends or family or both.
Deconstructed: Their solitude is caused by their emotional problems, and they end up savaging each other more than helping.
Reconstructed: And they realize that they have a better chance of working to beat their emotional problems together than alone.