Biblical love/hate language can express comparative preference or priority: Leah is 'hated' in the sense of being loved less/preferred less. This supports reading Jesus' shocking statement as supreme allegiance, not a command to cultivate malicious hatred toward family.

Matthew's parallel expresses the demand as loving father or mother more than Jesus, confirming the comparative-allegiance sense of Luke's sharper 'hate' wording.

Luke has already introduced daily cross-bearing as discipleship and will narrate Roman crucifixion in chapter 23. At this point in the story, the image already evokes shame, coercion, and death under Roman power.

Deuteronomy commands wholehearted love of YHWH; Jesus’ demand that allegiance to him outrank family, self, and possessions carries major Christological weight, though Luke 14 does not quote the Shema.

Salt accompanies offerings and appears in 'covenant of salt' expressions. These texts can enrich the saying, but Luke's immediate point is usefulness versus uselessness in discipleship; a direct covenant-of-salt allusion cannot be assumed.