lol what on earth is “continental liberals”? I think their equivalent in the US or UK are the libertarians.
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.