Yes, the right half.

With a little less snark: when someone from Hexbear or Lemmygrad says "liberal," we're referring to the ideology of Liberalism and its adherents. Liberalism is the dominant ideology today, with features such as capitalism, representative 'democracy,' and ennumerated individual rights of which private property is their most cherished. Liberals are liberals, conservatives are liberals, libertarians are liberals. Essentially, if someone isn't a socialist, they're probably a liberal (or worse).

The political compass is fake and wrong.

Liberals emerged as the opposition to the feudal system, along with enlightenment philosophy, science, industrialization, etc. Revolutionary liberals wanted freedom, democracy, self determination, independence, freedom of movement, and a world without the tyranny of a king. The class that emerged during these periods was the capitalists who also wanted to get away from the feudal system ruled by nobles and the church, who said, "the way to get rid of these feudal relations and get freedom, democracy and independence is a system built around private property rights." But of course once the capitalists seized power and owned everything, those other values of self determination, freedom, independence all became wrapped up in and subordinated to private property.

Now when people talk about these values, the only one that really has any social substance is property. Socialists are in many ways the inheritors of that first mission that early radical liberals were fighting for, but when we talk about liberals, what we mean is anyone who believes that private property is a core political and social value to uphold. This includes most conservatives and what would traditionally be considered as liberals, like the Democratic party. But we recognize that private property and capitalism was not the way to win freedom from tyranny, it was just a new form of tyranny. It was a big con, a game of switcheroo, and it continues to be that to this day. Liberals can't really see it because there are things that they believe to be essential and natural that are really social and historically contingent. But becoming a socialist we have to sort of de-liberalize in that we purge those core beliefs that uphold private property and dictatorship of capitalists, which has this weird side effect of always having to distinguish our socialist beliefs from liberalism.

when we say liberal we mean the ideological backbone of capitalism. People who believe the primary political subject is the individual and that economic classes either don't exist or aren't the primary political feature of any given society.

To tack on to what everyone else has said, almost all political discourse in the US is composed of liberals. The democrats are all liberals. The republicans are 95% liberals with the occasional fascist.

A liberal is someone who justifies the continued existence of capitalism and the power structures that uphold it, they also tend to elevate property rights above individual and collective human rights