Joseph
There are specific heiterim involved here (I believe Rav Moshe discusses this heter, that better they do something b’heter then continue to do it b’avera)
And all agree he wasn’t fully frum to begin with. That doesn’t change her yearning to be a frum ger. She has no chiyuv to force her husband to be frum. As I stated before many couples have this issue, especially in EY with the vast kiruv movement.
But I really don’t understand your continued effort to fight a lost cause. Your definitions and understanding of geyrus will not supersede a Rabbanite recognized US bais din.
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