No. The thirteen regional anchors are modern geographic and cultural labels we use to make the map readable. They're not claims about your modern national identity, citizenship, or political affiliation.
The percentages show how strongly your genome clusters with the ancient DNA patterns tied to each anchor over long timescales. They don't mean your recent relatives came from that administrative region, and they're not a statement about today's nations.
One point worth being clear about: "Northern Greek" (covering Greek Macedonia and Greek Thrace) and "Macedonian" (the identifier for the South Slavic majority population of the Republic of North Macedonia, preserved under the 2018 Prespa Agreement) are two independent anchors pointing to distinct archaeological landscapes. Neither label is a claim about identity, language, or the historical naming of "Macedonia."