Personally, I think it is a minority of people who think oscar should keep his job just for getting into the Tourney, and I think whoever our new AD is will see it the same way, so I think the article is underestimating things on that front.
That said, there is no benefit to firing oscar now. And I don't think you can fire him if you get to a Final Four or something, so yes, these next few games are make or break for oscar.