وَأَمَّا بِمَعْنَى الْمِلْكِ فَلَا يَمْتَنِعُ
A different reading is possible when the intended meaning is ownership.
Milk (ownership) concerns a right of disposal over property. Rizq in this discussion concerns receipt and enjoyment. Someone may own food yet never consume it; another may unlawfully consume food that does not belong to them.
Thus owning, eating, and calling something provision are three distinct propositions. If one defines provision through ownership, the definition and the resulting argument change.