Roman Ball Games, Anyone?

Some champion the cause of Pairity
While others esteem the virtues of Singularity
The Pairity camp is singular in that they deride without charity
The life of the individual bent on solitairity.
The Singulars parry calmly by drawing attention to the deep disparity
Between the proportion of the dinner bill laid on the table by the Man
And his Manatee.
But Pairs in their rebuttal will rebut,
Will hmm, haw, tsk-tsk, and tut-tut,
And point out that the broken-hearted heart owner
Is better than the individual possessing the heart of a loner.
But can I make a proposal, with due modesty?
I humbly suggest we mingle in groups of three.
Let us reject this morbid fascination with Singles, and Doubles;
For trios, trinities, triumvirates, triplicates, and troikas will save us much trouble.
To those enamoured of Ones and Twos,
Haven’t you heard? Three is company, too.