Literally every country's left and right has its own meaning and in most cases its focused on domestic politica but when it comes to geopolitical issue, every country has their own independent stand, according to their global strategy. So most of the time there's no left or right in global politics, its only individual country's interest that matters on global level.
Look at India, we think that we have left, right and centre ideology political parties. But technically its only socialist in different uniforms that we indians got. They are not right or left if we go by the books.
You're right in some way, following a specific news source is not at all a good idea in geopolitical context. If someone wants more holistic view than they should watch and follow everthing. Whether its left, right, centre or any country's public news agency, its only then you can get an idea of a big game.