If you book on SLH.com you will not earn hyatt points (or get special treatment for hyatt status). For SLH properties, Hyatt does not promise availability or best price, so the individual properties often have better room availability and pricing if you book with SLH than with Hyatt. Think of it from their perspective... they dont want to give Hyatt a percentage of the room rate if theyre very confident they will otherwise get someone to pay... this is especially true at seasonal properties. From experience, very few rooms are made available to the many category 7-8 properties in Italy/Greece in the peak summer months, but in May/October you might have a bit more luck.