Cardinal Burke advises that gay family members who are in relationships should be excluded from family gatherings at which children are present.  He did not say, but may have meant, that the gay person might be permitted to attend alone.  It's exactly what John described.
http://churchandstate.org.uk/2014/10/cardinal-says-gay-couples-shouldnt-be-invited-to-family-gatherings-if-children-are-present/
You can also find a sympathetic account of Burke's comments at Life Site News.
May we infer from your reluctance to believe the Burke would give such despicable advice to families inicates that you disagree with him?