Is the denial of judgment according to works implicitly binitarian?

If we are judged according to Christ’s imputed righteousness, then at the judgment, Jesus’ works are approved but not ours. the judgment is Father-Son. But where’s the Spirit?

If our works are the works of the Spirit in us, then their approval is the Son’s final judgment about the Spirit, the vindication of the Spirit as the Spirit of righteousness. At the final judgment, the Son, speaking the Father’s final word as the Incarnate Word, will say that the Spirit did everything expected of Him; the Spirit will be able to say, It is finished.

If judgment is not according to works, when is the Spirit finally vindicated? When do the Father and Son say, “Well done, good and faithful Spirit?”

(I’m not, for the record, claiming that those who differ on this point are non-Trinitarians. I’m simply suggesting that they haven’t worked through the implications of Trinitarian theology as thoroughly as they might do.)