Your definition is completely right. In my opinion, BF's definition is totally wrong. By stating he's married and his assistants were married during a time when gays and lesbians couldn't get married in Iowa, I believe BF was implying he only wanted straight players in program.
There's only one way to settle this: a lesbian player within the program has to go on record. If not, it's simply hearsay.
I am going to assume that you might have misread some of those quotes due to the poor quality of writing. Because, I did not get that he said that at all. I believe that was inferred by the writer or another person being interviewed.