It's also true when learning languages. If you speak a language a tiny bit, locals act politely impressed. If you speak it kind of good but aren't a native speaker, at least in some countries that lands much worse than speaking the language badly.
Actual advice from black people to other black people not to work on your accent.
Having a bad accent might help you sound like an enthusiastic tourist though; Americans start off with pretty bad pronunciation, Spanish/Italian/Finnish are closer and people might think you're fluent.