Yes, paying the Maintenance Fees with the Hyatt card will code as Hyatt spend and earn the 4x spend. Many people do this. Hope you are enjoying your timeshare. Many people hear that word and are programmed to think negatively, but that is due to all the experiences of people who bought at retail from the developer. You did it right, picking up a cheap resale. All the Hyatts have excellent trading power in II so hopefully you explored that. Flyertalk is my go to for hotel and airline programs but there isn’t much here for timeshare owners. That said, there is an active forum for HRC timeshares at Timeshare User Group as well as a Facebook group if you need more guidance.