IOS 16.2 Speaker in HomeKit results in "Not Supported" even if publishedExternally
### Analysis

The example independent platform plugin at: https://github.com/homebridge/homebridge-examples/tree/master/independent-platform-example-typescript does work when it is changed from a Switch that is published externally to a Speaker. HomeKit will complain the accessory is, "Not supported".
I seen others talk about the same issue with a SmartSpeaker, but this is just a Speaker.


### Expected Behavior

Like an externallyPublished Switch a Speaker should also be recognized by the Home App

### Steps To Reproduce

Use the independent-platform-plugin example, change the accessory from a Switch to a Speaker. (Code attached)
I removed all bridges/accessories from the Home App. Restarted the Home app.
Deleted /var/lib/homebridge/accessories and
/var/lib/homebridge/persist and rebooted my server.
Added the Bridge and then added the externally published Speaker. See images below


### Logs

```markdown
Logs are attached as an image.
```


### Configuration

```json
"platforms": [
        {
            "platform": "ExampleIndependentPlatform",
            "name": "homebridge-independent-platform-example"
        }
]
```


### Environment

- OS: iPadOS Version 16.2
- Model Name; iPad Pro (12.9-inch)(3rd generation)
- Software: Home
- Node: v16.13.1
- npm: npm@8.8.0 /usr/local/lib/node_modules/npm
uname -a: Linux MyHost 5.10.63-v8+ #1496 SMP PREEMPT Wed Dec 1 15:59:46 GMT 2021 aarch64 GNU/Linux
homebridge -V
1.6.0


### Process Supervisor

hb-service

### Additional Context

Attached are my simple modifications to make the independent-platform-plugin a Speaker instead of a Switch as well as screenshots along the way.
[independent-platform.ts.txt](https://github.com/homebridge/homebridge/files/10551329/independent-platform.ts.txt)

![homebridge-ui](https://user-images.githubusercontent.com/6558047/215892929-e327fa1a-dd56-4f2d-a515-7c8c16a9ad4d.png)
![HomeExternal](https://user-images.githubusercontent.com/6558047/215892935-44c63f55-b87c-45d2-b74a-6d281c7f8554.png)
![HomeUnsupported](https://user-images.githubusercontent.com/6558047/215892948-3b9c6914-4771-48ca-81a2-c796fd83c8dc.png)
