This specimen of L. imprudens appears to have a whitish head. https://biocache.ala.org.au/occurrences/c8e8e348-b808-4028-b0a3-3f62e7c00250 Haven't found any Lecithocera (genus) moth on iNaturalist or the ALA with a white head.
@ibaird @donhe the antenna don't look right, but it was moving so quickly I can't be sure. It was definitely brown but a very slight purplish tinge, and a faint mottled pattern. Cream/white head and thin black antenna.