recently had a problem @ a Hampton and they sent me a BMG. It states on it it can Only be used at a property of the same Brand = it can Only be used for a free Hampton stay

Im wondering if that is the case with say the Conrads and WAs that unless it doesnt state its Brand specific that it can Only be used at that brand = getting a Hilton BMG can Only be used at a Hilton not DT or ES or Conrad or WA