Slowly BUT surely.

YONKS ago I thought I'd test the claim that "this wrapper is compostible".  It was, supposedly, made from Potato starch, or its ilk.
The one on the left was added some time in 2019; so is close to two years old.
The one on the right was added in November, same year.
SO - It seems that, in all probability they will Compost; but, as A  N  Other suggested, it may require a hot &/or commercial composter since it is evidently not tickling the worms' palates.

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9 days and counting.