I'm not sure how 'poisons your family through you' works out? Thawne seems to be attacking everyone who uses the Speed Force -- whether or not they are a Flash, or a Flash-enemy (Savitar could by no means be described as part of the 'family').
I'm still waiting for Johns to acknowledge Bart as a Thawne descendant
That, and it'd be nice if Johns remembers that *Owen Mercer* is a Thawne descendant, since he's the one who *wrote* it.