Taiwan is indeed not a country under international law, this was approved by ~everyone including the US. Not long ago we had a very interesting post here with a

Taiwan is indeed not a country under international law, this was approved by ~everyone including the US. Not long ago we had a very interesting post here with a transcript of the famous Mao/Kissinger meeting. But, yes the flags are just visual indicators, they do not confirm that something is or isn't a country.