No and no (hopefully) and yes and yes.

The examples you give bring up specific points of those, the specific facts that are negative. The Worst Argument In The World is when you don't state the particular negative fact, but instead (truthfully) proclaims that X is part of larger set Y which notoriously also contains that one specific negative fact (which X really does have), but also many others which give Y a large net negative value, making X have a large net negative value (to uninformed audiences) by virtue of being part of Y.

Bring up the specific fact, not an arbitrary large subgroup which also contains both X and the specific fact and is known to have a massive net connotation.

In Lesswrong discussion, I've seen similar arguments made, and the most frequent response was "Taboo X and Y", followed closely by a more elaborate reduction.