All our themes have the same options. The only difference could be colors, icons and prebuilt product listing styles.
Unfortunately the dropdown mobile menu of Pavilion (you are looking at Pavilion demo right?) is a solution from an earlier version and is not available anymore. There you were not able to configure the mobile menu content and everything was hard coded.
Generally it is possible to switch between different themes and keep most of the styling, but sometimes there will be different defaults. If your idea is to get Pavilion for its mobile menu only – don’t do this you won’t get anything different but the design