the requirements are listed on the official Boy Scouts of America website
FOUND HERE.
Notice it says "Demonstrate that you live by the principles of the Scout Oath and Law in your daily life. List the names of individuals who know you personally and would be willing to provide a recommendation on your behalf, including parents/guardians, religious, educational, and employer references." It does not say he must believe in god, just that he must live by the principles. I think the committee chair needs to realize that if the boy lives by the
principles of the scout oath, he has fulfilled the requirements. Whether or not the boy believes in god is inconsequential.
I'd also remind the chair that he needs to re-read the meaning of the scout law found on pages 47-54 of the 11th edition of "The Boy Scout Handbook" (or
HERE). He should particularly apply the meaning of "A scout is kind" to his decision. As well as the part about respecting the beliefs of others found in a scout is reverent. If the chair can't apply those principles in his own life, then he certainly can't judge whether this boy applies them.