The oxidized patina on the statue of liberty is extremely durable and weather resistant, so it itself is a form of weather proofing.
This would have been known at the time.
The statue is also just coated with a very thin layer of copper, so it's highly unlikely this was an accident. (My personal opinion)
https://www.reddit.com/r/AskHistorians/comments/26d29u/many_of_us_have_heard_the_anecdote_that_the/