Hello mwb2022,
Thank you for reaching out in Apple Support Communities. To see if the iPhone can prevent automatically zooming in on your recorded videos, let's verify and test this behavior with having the Lock Camera turned on. This will prevent automatic switching between camera while recording a video. You'll want to go to Settings > Camera > Record Video, then turn on Lock Camera.
This information is outlined in this article: Change the camera’s video recording settings on iPhone - Apple Support
In addition, let's ensure that your iPhone is updated to the latest version of iOS 16.0.2. Having the latest version, helps provide software improvements that can help. If needed, here's how to do that:
Update your iPhone, iPad, or iPod touch wirelessly
1.Back up your device using iCloud or your computer.
2. Plug your device into power and connect to the internet with Wi-Fi.
3. Go to Settings > General, then tap Software Update.
4. Choose the software update that you want to install. You can choose to stay on iOS or iPadOS 15 and still get important security updates. Or you can choose the option to upgrade to iOS or iPadOS 16.

5. Tap Install Now. If you see Download and Install instead, tap it to download the update, enter your passcode, then tap Install Now. If you don't know your passcode, learn what to do.
Following these steps may help improve your video recordings.
Best regards.