English is the language of the neoliberist ideology, of course it's it self hacked by it.
Here there is what happened: the word liberalism indicated the values instroduced mostly by Enlightment thinkers and included equality, freedom of speech, inviolability of the home, division of the powers in the State, a constitution as origin of the law and many others.
This concept was exploited to support an idea of free market that leads to economic power overwhelming the political one. So the liberalism was followed by socialism that added social rights and complemented the Liberal State with the Welfare State.
Since there was a conflict between socialist thought and the ones who claimed to be representatives of the liberal thought it happens that a real liberal thinker introduced a new term to distinguish the liberal values from the ideology that was basically supporting the capitalism.
He was the Italian phylosopher and father of the 1948 Italian Constitution Benedetto Croce. The term was liberism, different from liberalism. The term was later introduced also in USA and you should find it in dictionaries.
After WWII the liberalism was about to disapper also thanks to the liberal economist John Maynard Keynes, still known as the father of macroeconomics and precursor of MMT (he got right the main concepts).
But because of Friedrich Von Hayek and Milton Friedman ideas the liberism was populized again. And the again there was the attempt to link it to liberal values so it's known in English as neoliberalism. Instead in Italy we never use the equivalent of neoliberalism, we use the neoliberism one.
Neoliberalism term doesn't make any sense because the "pause" wasn't for liberal values, so the "neo-" part doesn't make sense. Instead there was a break between liberism and neoliberism (the Keynesian period) and there are some differences. Instead there is nothing like "a new liberalism".
