Is AUTHOR wrong in the post ? POST : First, some context.

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I worked out this morning at mesh fitness, and they have a specific policy rule written on their entrance door that states, "For the safety of our members, please do not open the door for anyone", which makes sense. People could barge in the gym all the time if members opened the doors. 

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Well here I am, about to leave the gym on a cold, rainy morning when I see an elderly man with a cane approaching the gym. We make eye contact for a solid 20 seconds. Half of me was like, "Damn, I shouldn't open the door for him, he'll have a membership card to open the doors", while the other half argued, "Jesus Christ man, it's fucking freezing outside! Open the damn door!". Too afraid to make the wrong choice, I hastily retreat back into the gym. 

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10 seconds later, he enters the door and, to my demise, rips me apart and scolds me for not opening the door, feuding that a guy like myself should have some decency to open the door for an elderly man.

AITA for not opening the door for him?