Sure, their personal political bias should put them up to a greater level of scrutiny; but it they can still fact check without bias.
So, have they?
They're gonna get dragged for these tweets any time they fact check anything, even if their judgment is always impeccable.
They’ll get dragged for doing anything that doesn’t align with X party. If not his tweets than something else.
Not saying people shouldn’t have common sense about what they post on a public forum tho...
I'm pretty sure most judges would recuse if they had statements like that surface.
Sections (a) (1) and especially (a) (5) here, for example: https://www.americanbar.org/groups/professional_responsibili...
Although I doubt he put that fact checking warning up all on his own, there must have been a policy in place that senior management agreed to, and legal have presumably okayed.