Shared ground
This scene treats the priests as official guides for how “the law” applies to concrete cases. Haggai is not asking for their private opinion. He is told to consult them, and their answers are presented as correct rulings for the scenarios given.
Two principles are established by the paired questions. First, holiness does not spread automatically from a holy item to other food through indirect contact (holy meat inside a garment fold touching other foods). Second, uncleanness connected to a corpse does spread to what is touched (the same kinds of foods). The text itself emphasizes an asymmetry: uncleanness is easier to pass along than holiness.
Where interpretation differs (only where needed)
Some interpreters think these examples are mainly about ritual handling near the temple: what counts as clean or unclean for worship-related meals and offerings. Others think the examples are chosen to teach a broader point that will be stated in the next verses (vv. 14–19): being near holy things (like temple work) does not automatically make people or their work acceptable, while pollution from sin/uncleanness readily affects what they do.
Why the disagreement exists
Verses 10–13 stop with the legal questions and priestly answers; the direct “so what” is in the following unit. Because the immediate application is not yet stated here, readers differ on how wide the lesson should be taken: limited to ritual transfer rules, or also functioning as an analogy for the community’s moral and covenant condition.
What this passage clearly contributes
Explicitly, the passage contributes a law-shaped distinction: holy meat does not make other foods holy by the kind of contact described, but corpse-related uncleanness makes touched items unclean. It also shows how prophetic instruction can work through priestly expertise: Yahweh directs Haggai to ask the priests “concerning the law,” and their rulings form the basis for the next message. The focus on corpse uncleanness highlights a serious category of contamination (cf. Numbers 19:11–13) without claiming to list every possible case.