Does Korean Air have some sort of favorable "corporate" rate at the Hyatt Regency Incheon Airport, for travelers on overnight transit but not entitled to a free room (eg, because used it on the outbound, or on award ticket, or on ineligible fare, etc.)?
I've heard KE (or another wing of Hanjin Group) actually owns the hotel property, so it would be more entitled than most companies steering a lot of business to a hotel. But maybe KE steers so much business just by force of nature that the hotel doesn't have a reason to offer a favorable corporate rate, except to KE itself when KE is paying on its own account (eg, those on "free" overnight transit stays).
I'm on a DL-issued award ticket in Prestige, coming from Narita and going out to USA on morning departure, so had no choice but to overnight at Incheon.