Yes, in the sense they also believe in the neoliberal free-market and private-property capitalism. This also means liberals are still right wing, albeit much further to the left than conservatives.

Both conservatives and so-called liberals believe in free market capitalism, despite having radically different points of view when it comes to social issues like racism, poverty, guns etc. Socialists agree with left-leaning liberals on the vast majority of social issues btw.

In a nutshell, if you think really good representatives could fix most of the issues with capitalism as it stands you are a liberal/neoliberal. If you think the current capitalist system can’t be fixed by just changing the players without changing the game you are a leftist/socialist. You can go further left than you might be used to, this is where this confusion comes from.