After reading the story at the link you provided it absolutely should be used by the Redskins team as the next mascot if and when it gets replaced.
The funny part is that the name absolutely was designed to provoke white people. They expected us to hate it. It was a massive backfire:
The team chose a white man as its mascot to raise awareness and understanding of stereotypes that some cultures endure.
"The message is, let's do something that will let people see the other side of what it's like to be a mascot," Little Owl said. "I am really offended by this mascot issue, and I hope the people that support the Eaton mascot will get offended by this."
[...]
"It's not meant to be vicious, it is meant to be humorous," said Ray White, a Mohawk American Indian on the team. "It puts people in our shoes, and then we can say, 'Now you know how it is, and now you can make a judgement."'
White said many people don't understand how it feels to be victims of a stereotype.
'Fighting Whities' or 'Whites' Name Chosen By UNC Team
The only awareness that was raised was that whites really aren't uptight about this sort of thing.