The relevant quotes are as follows:
Performance of Creation. Also at 3rd level, as an action, you can channel the magic of the Song of Creation to create one nonmagical item of your choice in an unoccupied space within 10 feet of you. ...The created item disappears after a number of hours equal to your proficiency bonus.
Creative Crescendo. At 14th level, when you use your Performance of Creation feature, you can create more than one item at once. ...You are no longer limited by gp value when creating items with Performance of Creation.
Imprisonment. Components: V, S, M (a vellum depiction or a carved statuette in the likeness of the target, and a special component that varies according to the version of the spell you choose, worth at least 500 gp per Hit Die of the target) Duration: Until dispelled ...A Dispel Magic spell can end the spell only if it is cast as a 9th-level spell, targeting either the prison or the special component used to create it. ...You can use a particular special component to create only one prison at a time. If you cast the spell again using the same component, the target of the first casting is immediately freed from its binding.
Am I reading this correctly, that I can cast Imprisonment using spell components made by Performance of Creation, which will then last for 6 (the proficiency bonus at level 20) hours, at which point the component will disappear and the spell dispelled? From world-building/theory crafting, one can fathom that the RAI is that the component is a sort of anchor for the spell, meaning that anything along the lines of destruction, disintegration, dispelling, or otherwise compromising the integrity of the material would result in the spell malfunctioning and ceasing to operate.
To clarify, I understand that Performance of Creation can be used for spell components of ludicrous price through Creative Crescendo. My question is asking specifically after the edge-case where the component required for Imprisonment, obviously supposed to remain in existence during the effect of the spell, just ceases to exist. Am I correct in assuming the spell would be annulled?