A little about hatchery chinook. Tules are from native lower Columbia River tributaries. I don't know if the Kalama was the exclusive source of the original seed stock or not. Kalama is one of the oldest hatcheries in the system, so it's very likely one of the sources, even if not exclusive. Other lower Columbia chinook are usually considered tules, like Cowlitz falls - not the springers - however the NF Lewis are more like URBs due in part to their generally later timing, but they are certainly a lower Columbia fish.
As for Elliot Bay and Puget Sound, the overwhelming majority of Puget Sound hatchery chinook are of Green River fall stock. Again, the Green River hatchery was one of the very first built in Puget Sound. So as other hatcheries were added to the system, WDFW just transferred eggs from the Green to Carbon, Wallace, Samish, Nooksack, wherever.
In the past, Puget Sound eggs were transferred to the Columbia and vice versa. Guess what? Non-local stocks usually are not as productive in the new haunts to which they are not well adapted. Even within Puget Sound, Green River kings have never produced worth beans when raised at the Skagit hatchery. Yet Green River coho - again the donor stock to most other Puget Sound salmon hatcheries - have done quite well. Coho seem to be very adaptable. Another interesting example involved the importation of Rivers Inlet chinook eggs to Puget Sound so we could have more large chinook in the local fishery. Masu, or cherry salmon, from Japan were stocked in Minter Creek, I believe. However, like most of the exotic plants, the Rivers Inlet chinook and cherry salmon weren't productive, and those ideas were dropped.
In this age of ESA listings and more restrictive fish conservation, we're even less likely to see exotic stock introductions. If Skamania summer steelhead were not already in many Puget Sound and coastal rivers, they probably would not be imported now.