You have answered the question yourself, "he did not say but he 'may' have meant that the gay person might be permitted to attend alone."
JH said that, "grandparents should shun their gay children." I'm sure you will agree that the Cardinal said nothing of the sort.
Of course JH prefaced this with, "he [Cardinal Burke] said in so many words," which is a common device employed to misrepresent what people say or write. My comment that, "it was not what he [Cardinal Burke] said at all," was absolutely correct.
I am aware of what the Cardinal actually did say and I am in full agreement with him.