You seem to suppose that those businesses are really independent, only focus on goals they advertise, and exist in a vacuum. I can't even imagine how many “services” they offer to governments to keep their market shares.
The non-government organisations involved in those cases are either proxies that always support local politicians, or have been deliberately created to create opaque decision making source that is outside of legal or public scrutiny. As always, the ones who decide morals for the masses are the ones you can not even criticise. Unfortunately, even if you don't have such activist group, there is always a queue of well-intentioned citizens full of dreams of getting in bed with any politician, and having their 15 minutes of fame.
So one thing is to show who is the boss. Just as a slave owner who randomly kills a couple of slaves just to make others tremble in fear, US reminds others who sets the rules of international trade. The pretext is not that important.
Another is to keep public in check. A citizen who says “Sonic and Mario BDSM Chamber game? Wow, so unbelievable”, and shrugs it off is a bad citizen. Good citizens must react as prescribed to any real or imagined horror stories, be attracted to sexual content in media (or outraged by it, which is the same thing), and always fear the dangers that exist “outside”. The more they do that, the more they ignore the real world around them, and rely on imaginary protections the system and its members provide.
As political entertainers are interested in keeping the status quo that benefits all of them, they always choose the lowest common denominator views on such topics. It does not matter what you really think about it, it matters that you do the trick when the command is given: gasp with others, murmur with others, shake your head with others, decide that it must be stopped by existing powers with others (and therefore let them decide for you).
PornHub was famously not immune to the same thing. Porn industry attacked free streaming sites to remove everything that was not actively copyrighted, and directly provided by industry. It probably cost them a lot to organise that through politicians, journalists, activists — and payment processors. Ironically, the rhetoric you might call religious was used to help porn business.