I'm not sure that's relevant, since the Hague Invasion Act[0] only applies to war crimes. There's all sorts of other cases in which the US is perfectly happy with other countries asserting jurisdiction over it's own citizens. The US has signed plenty of extradition treaties that allow other countries access to US citizens who commit acts which are crimes in both jurisdictions[1].
Furthermore, copyright is usually treated as a civil tort; and the US also has processes to domesticate and enforce foreign court orders under US jurisdiction should someone decide to play scofflaw. There's plenty of international cooperation that makes the whole concept of "jurisdiction ends at national borders" null and void.
[0] Not the real name of the act, but this is funnier.
[1] If you're curious, there are countries that object to criminal extradition. Notably, France considers French nationality to constitute immunity to any extradition treaty it signs. Though, they haven't promised to invade countries over it like the US did.
Furthermore, copyright is usually treated as a civil tort; and the US also has processes to domesticate and enforce foreign court orders under US jurisdiction should someone decide to play scofflaw. There's plenty of international cooperation that makes the whole concept of "jurisdiction ends at national borders" null and void.
[0] Not the real name of the act, but this is funnier.
[1] If you're curious, there are countries that object to criminal extradition. Notably, France considers French nationality to constitute immunity to any extradition treaty it signs. Though, they haven't promised to invade countries over it like the US did.