Correct. True Libertarians are anarchists, but many people who call themselves libertarian don't really understand the whole doctrine. (https://www.libertarianism.org/columns/anarchism-libertarianism-two-sides-same-coin) Generally speaking, however, anyone who seeks limited government, commerce between consenting businesses, the rule of law (vs. the law of rules), is headed in the right direction.
RE: What is a Classic Liberal?