Glad you found some info about the bitrates! You're right, that could certainly explain the file size difference. As for changing the bitrate on your iPhone, it's a bit tricky. iOS doesn't typically provide an option to change the bitrate directly.
That being said, you can indirectly influence it by adjusting the video quality settings. Higher resolutions and frame rates generally increase bitrate, while lower ones decrease it. But it seems you've already set it to 1080p at 25fps.
About the large Fuji files, have you considered compressing the videos before sending them to your colleague? Software like Handbrake can help reduce file size without a noticeable loss in quality. This could make the videos easier to handle on his machine.