If he is at the white house on Joe Biden's inauguration day he will be escorted out of the building and off the grounds and Joe Biden will be sworn in as president.
The person who lost the election cannot change the process. It will go on smoothly without him.
For that reason perhaps it would be kinder if he simply left now. That way he avoids the photos. I'd be fine with it. Would you? There is no particular joy in watching him be humiliated. I am not being sarcastic. I am being honest.
The battle is over and done. It could not be clearer that we won. If a little kindness can be extracted out of all of this why not? Where's the harm? Turn the other cheek. Remember?