Maybe not in the modern American sense. But in the broader, historical sense, monarchy is a conservative concept rather than a liberal one.
Historically, conservatism is about preserving tradition, hierarchy, and putting checks on democracy. Liberalism is about individualism, tearing down class barriers, and promoting free markets and civil liberties.
The conservatism of late 20th century America is really the Jeffersonian liberalism of early 19th century America. And today's liberals are the revolutionary Jacobites of that era.
The world at large sees monarchies as conservative. It's Americans who've created this anomalous definition that equate conservatism with individualism and free markets.
Where did you get that crap from?
Democracy is the best form of government, actually Representative Democracy, with a strong free capitalist system.
Monarchies work mostly off crony capitalism, the friends of the king are always at the top.