It's useless to judge left vs right on a global scale because different countries have different standards.

For example, supporting universal healthcare does not make you a left winger in the UK. Or, take conservatism for example. It was first used in France, where it meant supporting the monarchy. By that definition, no one in the US is a conservative.

Whenever someone tries to create a global definition for left and right, they're just baking in their personal biases for what left and right ought to be.

> huge government involvement into economy

This has nothing to do with the right. Stalin had the government even more involved in the economy and he wasn't a right winger.