You are wrong. Hyatt has nothing to do with Hilton. All Hyatt hotels have the word Hyatt in the name. Hilton is not associated with Hyatt.
Yes- Hilton is different than Hyatt. Hampton Inn is a Hilton brand...pretty well run organization too.
https://www.google.com/search?q=hyatt+properties&oq=hy&aqs=chrome.0.69i59j69i60j69i61l2j69i60j69i57.1566j0j7&client=ms-android-americamovil-us&sourceid=chrome-mobile&ie=UTF-8