Big L, not little l. Big L is the party, little l can vary wildly, even starting out along the lines of anti-state socialists / social anarchists.
Like so many things, the modern right in the US has polluted the meaning.
For example, left libertarians will support redistribution of resources, support of green policies, and is strongly anti-war.
The Libertarian Party is just maga that... Well some of them think smoking weed is fine. And they dont want to pay taxes.