There is a wittiness to the play’s conceit, rendering the awkward sparks of flirtation in synthetic voices. (The line readings and timing are a collaboration between the actors and the creative team, including the sound designer Matt Otto.) And Winters pays careful attention to the dynamics of living with disabilities that we rarely see depicted onstage, like balancing personal agency with the realities of needing assistance. But a sense of dutifulness toward representation — exploring differences in class as well as the origins and onset of disabilities, for example — gives “All of Me” a schematic quality. A subplot dealing with the opioid epidemic very nearly tips it into P.S.A. territory.