Still on the trail of the meaning of Hollanderize: Consider this exchange between MSgts. Pendleton and Bilko from s1e23, “Army Memoirs,” of The Phil Silvers Show (air date 21 February 1956). Pendleton, at the moment (five minutes before he was in a different frame of mind), is buttering up Bilko, offering him alterations on a newly-arrived flight jacket with white mouton (sheepskin) collar. Pendleton asks, “Do you want the collar Hollanderized?” to which Bilko replies (approximately, he’s talking over a laugh and about to do a take from Capt. Barker’s entrance), “No, keep it fluffy.”
So, Pendleton is not offering cleaning of a new garment, and cutting it down doesn’t make sense. Perhaps he is indeed offering a dye job, which Bilko rejects because it will mat the pelt.