Oh they do (or at least the one who brought me to Hong Kong did). When I arrived the global relo consultants were claiming that as a single guy in my position (which wasn't that senior - just running a US$150M business unit, not heading the region or anything) I should have a housing allowance of HK$90K per month. The local HR just laughed that out of court (and, frankly, I agreed) and we quite happily settled on $50K per month.