The pairing with Parashah Tetzaveh, whose central material includes detailed instructions for the priestly garments, the ordination of Aaron and his sons, and the construction and use of the altar of incense, rests on the shared focus of both texts on the precise, staged consecration of a sacred altar, one built in the Israelite wilderness camp and the other envisioned for a future Temple centuries later.
Both accounts insist on exact measurement and a fixed sequence of days before the altar may be used for ordinary service, the parashah setting out a seven day ordination period for Aaron and his sons during which specific offerings are made daily, and the haftarah setting out an identical seven day purification period for the altar itself before regular offerings may begin on the eighth day, a shared structure of preparation before service that neither text treats as optional or shortenable.
The haftarah's explanation that the measurements themselves are meant to prompt shame over past iniquity also connects to the parashah's own care in specifying the priestly vestments down to fine detail, both texts treating precision in sacred matters as inseparable from the moral seriousness the whole system of worship is meant to instill in those who carry it out.