Will moth larvae pupate in response to food deprivation

Context: Trying to exterminate a clothes moth infestation.

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Supposing you have a room with clothes moths, or rather, with clothes moth eggs and larvae.

Suppose then, that you remove all of the soft furnishings, all of the clothes, all of the carpet, and you thoroughly clean and vaccuum to remove as much dust and hair as possible.

Would one predict that the remaining larvae would then immediately pupate into moths, in response to this food deprivation?

I know that lots of plants will suddenly flower or fruit if they perceive that they are at risk of dying, in order to reproduce before they die. I believe the moths are essentially just a reproductive phase of the moth, so I’d be unsurprised if they did pupate.

On the other hand, I imagine pupation takes a lot of energy and food reserves (not to mention needing material for the cocoon), so I can imagine that they might be unable to do this?

Which way do it go?

Will moth larvae pupate in response to food deprivation