The dot has NOTHING TO DO WITH RECORDING. To repeat: The dot has NOTHING TO DO WITH RECORDING. the Orange dot means ONE THING ONLY: It means that the microphone is ON. If you are using a recording app such as Voice Memo then it is obviously recording, and it actually says so right on the screen that it is recording. But if you are on a phone call it is not recording, all the dot means is that the microphone is ON. (And it would be extremely difficult for the person to whom you are talking to hear you if the microphone wasn’t on, unless they were in the same room with you).
Here is Apple’s Help text link for the orange and green dots→About the orange and green indicators in your iPhone status bar - Apple Support. Do you see anything in it about recording?
Face ID does not use the microphone, so there will be no orange dot. Face ID also does not use the camera, so there will be no green dot for Face ID. (Face ID uses an infrared scanner in the notch at the top of the screen.) FaceTime uses the camera, so there will be a green dot if you make a FaceTime call.