Upvote:3
The benefits of hotel status can kick in starting from a relatively low level. For example, Hyatt Platinum can be obtained after just 5 stays. Correspondingly, however, you can expect relatively little benefit after such a small committment. A sample comparison of mid-level hotel loyalty programmes is available here and you will see there isn't much you'll be eligible for after 9 days.
An alternative to hotel status is using a booking site's loyalty programme. There aren't that many of those, but a comparison is available here. Notably, hotels.com awards you a one night stay (at average cost) after 10 nights of bookings with any hotel.