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In terms of low decoupling:

It sometimes makes working with _slotted_ children in a non-lock-in way difficult in terms of state synchronization as opposed to props.children in React. The solution here in an app would be to use a state manager, but it's much more difficult for components that do not want to require the user to use a state manager e.g. design systems.

Additionally, hydration and customElements.define() upgrade order is a different consideration compared to other mono-state frameworks when it comes to SSR.

In terms of state management:

There are plenty of tools out there like lit-mobx shopped by Adobe. The team has also made some examples that show how easy it is to integrate your own state manager into Lit using ReactiveController such as Redux. There is also work being done such as example implementations of Preact Signals integration:

https://github.com/lit/rfcs/blob/preact-signals/rfcs/NNNN-pr...