It still needs a name. Here let me try:

Disproportionate benefit insinuation error: Implying (without explicitly stating that it has more benefits than disadvantages because that would be a disprovable lie) that because something has some benefit, it is overall helpful.

Or just "plausible deniability"- factually stating the existence of a beneficial tree, but omitting mention of the harmful forest

Or just "cherry-picking"

Or to cover cases where a harm is insinuated/emphasized in the same way in order to discredit something (see: literally all the antivax data, antiscience, antimedicine... "trust doctors, you mean like the ones who prescribed thalidomide?")... "Misrepresenting the forest"