Exactly what got the Duggars a show may lead to their downfall. Their size and fundie life got them the show, but what are the chances any large family has 100% buy-in to this "ministry" or even the image of the "moral high ground" they have attempted to brand.
TLC and the extended Duggar family benefit from the social media influence and followers. I am sure their TLC show contract and those with smaller "sponsors" set out a required number of tweets etc, BUT a "morality clause" with TLC would be pretty standard for all the representations they make in public.
All that said, Derick would be last on my list of family members I expected to be sullying the family name with completely unacceptable behaviour AND then actually posting it online. I am inclined to agree with whoever suggested maybe Jill posted it. It wouldn't occur to her Derick would do something wrong.
Interesting conversations I'm sure between Jill/Derick, the family, and TLC. From TLCs perspective, if they are/were about to get a birth filming, that might make them hesitate, otherwise I think they'd be severely limiting Derick and Jill on the show. This is getting more play, but also building on the LGBT hatred and backlash to that. I am sure TLC know of other things that would threaten the brand. On other shows, TLC seem to let that come out itself in the last season for good ratings. Who wouldn't tune in for a "real" version of the Duggar reality.