Earlier quoted context omitted.
I don't think the founders could account for international influence in the age of the Internet and smart phones. No one is asking for a great wall around the US. People are just asking that major influencers are not under the control of hostile governments.
Is international influence something that should be stopped? Like, I should check the citizenship of someone before I listen to their ideas? It just doesn't make sense to me. If someone tells me nonsense I can ignore the nonsense. It doesn't mean the government should smash their printing press. It's annoying when people in other countries rile up people to change how they vote, but ultimately, that's a problem with…
I'll try to weigh in. Democratic republics like the USA are heavily swayed by people, protests, etc. In the digital age, just-in-time censorship of social media like Facebook or Twitter have been extremely effective at preventing "good/bad" protests, and each government sets the rules for the social media in the country (read easy censorship). Additionally, there have been a number of international propaganda campaigns that were successful to disrupt regular elections in the USA recently. See evidence of certain protests getting huge right before and during the russo-ukrainian conflict and covid shutdowns. Tik tok the platform's users generally contribute and consume as a "community that generates content in good faith" (I use that definition loosely), but it is a arm of soft CCP power that could just-in-time promote something terrible (brainstorming here: cultivate civil-war-esque mindsets then trigger, convince the population to avoid polio vaccines, etc.) Elections are tumultuous enough without having each "town square" potentially weaponized by potentially hostile nations, so requiring that free press be free from foreign control (influence is okay under free speech) is what is being decided here.