Well required might not be the word. He is one of the greatest Doctors of the Church though and I don't think you can find any Doctor or Father that disagrees with this quote. This would make any Catholic pretty eager to give assent to it.
Are you saying that you would want to believe that Scripture can be used to try to prove anything one wants to prove? Do think he was wrong and that Scripture is not silent as to the shape of the Earth? If you do disagree with him, tell me the reason why. What other Doctor or Father can you use to prove that the shape of the Earth is proved by Scripture? Someone believing in it is not the same as proving they thought it had religious significance by the way.
We are not required to give assent to the writings of St. Basil, well-intentioned though he was.
The debate will continue, as long as the owner of the forum allows it. And there isn't anything you can do about it, except complain and disagree...which you are of course allowed to do.
Tell, me, do you believe in all of the infallible Dogmas of the Church, without innovation, as Truth is Eternal has been asking others here?