Why would you "throw out" a reusable water bottle?
The note that accompanies them in the hotel room tells the guest explicitly to keep and reuse it in the future. Using them also trains the average leisure traveler to refill their water bottle on property and helps send the message that single use plastic water bottles are unnecessary. It's not perfect, but I applaud Hyatt for the effort.
Not everyone tosses them. Using it on a week-long Hawaiian vacation can save you money, no need to buy bottled water after you leave the property and explore the island.
For the long flight home, no need to buy yet another plastic bottled (tap) water at the airport.
I always keep them and use them to the point that they crack/break or get lost.
You do you.
I do agree that most environmental initiatives are about patting oneself on the back, but keeping unnecessary plastic hotel water bottles out of landfills/oceans is useful in my opinion.
It's imperative that we think hard about what kind of world we want to leave behind for Keith Richards