The schism between "socialism" and "liberalism" has imho, nothing to do with that. It's more an economical philosophy about the ownership of capital, as discussed by Marx.

In addition to that there are differences regarding some moral values, where "conservatives" are usually seen as people who stand their grounds on old principles (like heterosexual marriage, death penalty, gun ownership), though it seems to me that this is very much an American.

Anyhow, this makes it all very confusing, especially when translating, and I suppose that's why an article written in English did not say Macron is "socialist" but rather "liberal", even if in France "liberal" kind of means "right-wing".