I work for an ISP and we host several LGBTQ activist sites and non profits, does the Ugandan government have jurisdiction over the company I work for because the content is illegal in Uganda?

I'm sure a creative and bigoted Ugandan government lawyer could argue that our client is "doing business" in Uganda by publishing LGBTQ content that is accessible to internet users there.

Does somebody shitposting on a php bulletin board hosted by one of our colo customers insulting the king of Thailand mean that we're subject to judicial sanction in Bangkok? Should I expect to be extradited to stand trial in Kampala? It makes just as much sense.

What power does the Ugandan or Thai government have to enforce their laws? That's really what matters - might makes right.

Does Verisign lose anything of value by being forced to stop doing business in those countries?

Texas has the power of being a member state of the United States. The Constitution grants Texas the ability to enforce its judgments throughout the lands and upon its own businesses.