Yes - back on topic!
I would disagree with Alan in that I don't mind updating place names in common names where they are relevant, because I think that makes them more comprehensible (and of course, Muscovy Duck has no genuine association with Moscow so it's more akin to being named after a person than a place).
I also think I've heard more people get 'Celebes' wrong than 'Sulawesi', actually.
So yeah, Sulawesi Macaque, Amur Tiger, Taiwanese Sika - fine with those.
'Painted Dog' - don't like. African Wild Dog is what I use as standard, but I'll often use 'Hunting Dog' in conversation.
On the nomenclature angle of 'gnu' vs. 'wildebeest' - I shall add my standard weirdness that I refer to Connochaetes as 'wildebeest', and might use that word just in a general sentence ("Were the zebras still mixed with the wildebeest?") but if I'm giving a specific taxon name I'd always use 'gnu' (e.g. White-tailed Gnu rather than Black Wildebeest). I'm not sure that's entirely logical, but it's how I roll.