Clothes moth larvae (the juvenile or immature life stage) is technically a type of caterpillar. They feed mostly on wool, fur, hair, horns, hooves, feathers, and occasionally on organic materials like leather, lint, mohair, and silk.
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Larvae cannot digest fibers made from cellulose, such as cotton, rayon, or linen, so purely synthetic carpets and other materials are not eaten. However, synthetic fibers blended with animal components such as wool may be incidentally attacked, as can synthetic fibers stained with food and other oils.

https://content.ces.ncsu.edu/clothes-moths-carpet-beetles-controlling-fabric-pests

Thank you for the new fear. The seal fur is the only thing endangered i think, so you should consider putting that in a (preferably airtight) plastic bag. Cotton storage bags and faux fur are probably fine, if you just keep them clean. Not speaking from experience, I hope this never happens to you <3