I don't know what additional difficulties, if any, would be posed for BW by having HP's response to JW published. Partly I can't know because I don't know what Heidi's filings said. (A couple of posts have seemed to suggest those filings are available but I've not seen them.) But just on the face of things, I don't think a minor child, in general, is helped by seeing only one side of the official filings in a contentious divorce/custody fight. And I do think the cure for the negative effects on BW might be ensuring his dead mother's voice is heard or at least preserved in a way he can access it. But I definitely agree, it's a mess.
JMO