Universal Donsker classes and bounded variation

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I just read in a paper A Donsker Theorem for Lévy Measures the following statement

$BV$-balls are universal Donsker classes (page 7, Examples 3.2 - Compound Poisson Processes)

$BV$ stands here for bounded variation. Unfortunately there is no reference for this result. I was wondering, is this some sort of trivial? Does anyone know a reference?