I’m not sure neoliberal and “lefty” are anywhere near synonyms either.
https://www.allsides.com/news-source/economist
whereas I see it what the center-right would be if we had a healthy media/political environment.
I mean, like many things, the meaning of 'liberal' has shifted over the last few centuries, and always differed somewhat between regions anyway. Words in English mean what people use them to mean.
The term got its current usage when FDR came in because at that time it was a matter of "burn it all down" (real socialism) vs "fix the private property system around the margins".