There are people I’d describe as “neoliberal” in the party, but your description of “neoliberal” is not correct in any sense that it’s used in political science.

Also, you seem to be unaware of the point that the need to specify the type of “liberal” origins not due to the different flavours that we have in Europe, but due to the fact that “liberal” (without the “classical”) is understood as something in the US that would be considered slightly left of most “Social Democrats” in European terms.