What is right wing or left wing is a complete red herring in the context of this discussion. Both are highly subjective, ultimately rather meaningless and are subject to the issue of "shifting goalposts". What's decried is nearly communist in the US is hard-right wing for most of the rest of the world.

Pro-corporate/anti-corporate is more meaningful. And yes, it is inherently pro corporate to be pro immigration and against state ownership of enterprise. Both are incredibly pro corporate stances in fact.