At least as of the time of this comment, no special label was applied to Stars and Stripes (50% funded by the US Department of Defense), Al Hurra (100% funded by the US Agency for Global Media), or CBC (>50% funded by the Canadian government).

Maybe that's just a mistake, and every news organization that gets a dollar of funding from any government will eventually get its own "Government-funded Media" label. Or maybe Twitter's new owner is being a petty little despot and didn't like a recent NPR story. ¯\_(ツ)_/¯