This end-run around foreign government monetary control has been touted by Stripe executives as one of the main selling points for USD stablecoins but I don't see how foreign governments don't clamp down on this is in the same ways the clamp down on other uses of USD in the country; most monetary transfers have some physical presence or touchpoints the government can control.
More importantly the US itself is eventually going to come to the conclusion that it does not want people holding US dollars for similar reasons: it also loses control over monetary policy, with excessive inflows un-intuitively leading either to unemployment or excessive debt (c.f. Michael Pettis)
That said, it's possible stablecoin networks succeed for other reasons, particularly having a widely-accepted "API" that is developed at the pace of modern technology companies instead of laggard banks.