Hi htopas,
Thanks for clarifying.
The Lightning to USB-C Camera Adapter is not capable of a firmware update. This article has information about using this type of adapter:
Import photos using Apple camera adapters - Apple Support
Import photos and videos
To import from your SD card or digital camera, follow these steps:
1. Connect the adapter to your iOS device.
2. Connect your digital camera to the adapter by USB or insert an SD card.
3. Photos should automatically open to the Import tab. If it doesn't, open Photos and tap Import.
4. Tap Import All to import your content, or tap specific items, then tap Import.
5. When the import is complete, you might be asked to Keep or Delete the media on the camera or SD card.
You can import content only to your iPhone, iPad, or iPod touch. You can't export content to an SD card or digital camera.
The Apple Online Store listing for this item also doesn't mention any type of firmware being used:
Lightning to USB 3 Camera Adapter
We'd advise to check with the microphone manufacturer, to verify that it's compatible with your iPhone and iOS version.
Contact a third-party vendor - Apple Support
Take care!