Routing is not working while a custom onStateChange props is defined

### 🐛 Current behavior

When we define a custom `onStateChange` props, url query params are not "set" on load via `routing={true}`.
If not, `routing={true}` works as expected with default query params

At load:

With `onStateChange={({ uiState, setUiState}) => setUiState(uiState)} routing`

With `routing`

Seems related to https://github.com/algolia/instantsearch/issues/4795

CodeSandbox sample:
https://codesandbox.io/p/sandbox/hungry-borg-tkntsx?file=%2Fsrc%2FApp.tsx

### 🔍 Steps to reproduce

1. Set a `` component in your page, with some widgets like `refinementList` or other
2. Set a `initialUiState` props (ex: `initialUiState={{ 'YOUR_INDEX': { refinementList: { ATTRIBUTE: ['VALUE'] } }}`
3. Set a custom `onStateChange={({ uiState, setUiState }) => setUiState(uiState)}` props

### Live reproduction

https://codesandbox.io/

### 💭 Expected behavior

We expect to see url params reflecting our uiState, even if we set a custom `onStateChange` props on `InstantSearch` component.

### Package version

react-instantsearch v7.7.0

### Operating system

_No response_

### Browser

_No response_

### Code of Conduct

- [X] I agree to follow this project's Code of Conduct

Start with the linked CodeSandbox and reproduce the interaction between InstantSearch routing, initialUiState, and a custom onStateChange callback. Trace how the uiState is applied on load and how URL query parameters are updated. Done means the URL reflects the initial uiState when routing is enabled, both with and without the custom callback.

Written by the indexing model from the issue text.