Do you think Carson would call out Melito for an exegetical fallacy? Melito explains the passover (πασχα) by relating it to the words παθειν (to be suffering) and πασχειν (to suffer). He argues that we can understand the passover if we experience (συμπαθων) suffering (πασχειν) together with the type to whom the passover points, Jesus.
Didn’t Augustine say we have understood the Bible only when we grow in our love for God and neighbor? Maybe Melito thought we can only understand the passover when we suffer with the Lord, the type to whom the passover pointed.