I think there's some confusion about the standards venue this is taking place in. This work is being done in the WICG, at https://github.com/WICG/kv-storage. The TC39 staging process, while relevant for any built-in modules TC39 may want to work on such as temporal, is not a blocker for web built-in modules.
Just like web standards bodies and TC39 already collaborate on built-in globals, we're also collaborating with TC39 on built-in modules. Thus the links to the stage 1 proposal in the article and explainers. But in the end, KV storage is a web feature, and goes through the web standards process, which doesn't use the Ecma staging process. Instead, it uses the process others are discussing elsewhere on this thread: incubation, shipping to web users through early implementations or origin trials, eventually to stable, and then promotion to a standards body like the W3C or WHATWG. (In this case, to the W3C, as part of the IndexedDB specification.)
Hope this helps!