Man I'm just some nobody hobby jogger entertained as hell by these arguments.
Did Nuguse qualify for the olympics? Absolutely, earned his spot.
Is Nuguse a member of the U.S. Olympic Team? Yes.
Was Nuguse a member of the U.S. Olympic Team for Tokyo 2020(1)? Yes.
Is Nuguse an Olympian? Only if you stretch the definition so much that an asterisk seems appropriate. He may be an "Olympian*," but he didn't compete in the event he qualified for. He pulled out before the race began.
I think one thing we all can agree on is that it's a good thing Yared didn't risk serious injury at the Olympics by running on his hurt leg. We wouldn't have been able to witness his performance at NCAA XC or this meet in January in South Bend, Indiana otherwise!