We are in a sub-thread, about Sweden's changing trends in censorship
over the past 10-20 years. To claim that American hegemony is the cause, one must claim that American hegemony grew drastically stronger in that timeframe (a.k.a. the 9/11 era).
Put differently... you have to claim that the Marshall Plan and a half-century of Hollywood exports had no effect, but YouTube and Facebook did cause a reversal. I think you have to be very young with a limited perspective for such a premise to even occur to you.
If anything, American hegemony has dramatically WEAKENED over the past 20 years. The Afghanistan and Iraq wars were such folly, the Norwegians welcomed Barack Obama with a Nobel Peace Prize for no tangible reason other than him NOT being George W. Bush! Disgust over Tony Blair's role as U.S. collaborator reshaped British politics for a generation. Weakened U.S. clout emboldened Russia to annex Crimea, and prevented any effective international response to the crisis in Syria. And can anyone say with a straight face that U.S. has more soft power influence on the world stage since Donald Trump's election?
Beyond political hegemony, its cultural counterpart seem weakening also. Large American films are now constructed to appease Chinese state censors, for access to their market. Back in the 1990's, it was routine in online web forums to act as if other countries don't exist. Today, that is routinely challenged.
As for the U.S. imposing sexual puritanism on the Internet... YouTube might be headquartered in the U.S., but so is PornHub. If there were really a huge market for something like YouTube, with a more relaxed TOS, then why hasn't a French startup created it? Unlike China, there is no Great Firewall in the U.S. that could squash its competition.
To answer your question, I cannot speak with certainty on why Sweden's censorship practices have shifted over the past 10-20 years. If indeed they truly have, then I might suspect immigration trends and a changing role for women (the same reasons commonly attributed to European nude beaches being in decline). I can only say that the idea of American hegemony in these past two decades growing stronger rather than weaker is absurd.