Before we start, we have to settle one contentious matter: how should the word ‘sloth’ be pronounced? In his delightful book Word Watching, the Australian philologist Julian Burnside devotes one of his essays to the Deadly Sins, and mentions that Sloth is less frequently mentioned than the other six. ‘This,’ he suggests, ‘might be due in part to ambivalence about its pronunciation: does it rhyme with “both” or “moth”? OED2 rhymes it with only one, namely “both”. (I would never have imagined that sentence possible.)’
Actually, the Oxford English Dictionary only applies that stricture to British English: it lets the Americans pronounce it either way.
I doubt that sloths are bothered about it at all.