When putting a dog to sleep...should their human be in the room?

do u think it is wrong for a person to choose not to be in the room with a very sick dog that is being put to sleep? if they feel too sad or feel they will break down in front of their dog? would it then be best for the human to not be present and make matters worse for the dog?
Thanks for honesty.
Update: ..and also if the dog is too sick to know what is going on around her anyway? would it be best for the human to say her goodbyes and leave? tks
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