Turn out "good" vs turn out "well"
"Turn out good" is fine when good is actually an adjective.
With his upbringing he'll probably become a violent criminal, but he might turn out good.
Would you say
that cake turned out delicious
or
that cake turned out deliciously?
In the first case, it's a predicate adjective describing the cake. In the second, it's an adverb describing the process of turning out. The adjective makes more sense in this case, and more people use it. See Ngram.
For the question of turned out good/well, which one is correct depends on the context.
In the US, for many decades it was stressed in school that well should be used with verbs and good with nouns.
This cake turned out well. It's good.
It was quite a mess at first, but in the end it turned out well for everyone.
--That's good.
The schools wouldn't have stressed this usage "rule" if many native speakers weren't violating it all the time.
Many of the people who violate this rule today have had little schooling, and so the idea has arisen that to "misuse" good and well is a sign the person is poorly educated or otherwise resistant to education. We have the stereotype of the beer-guzzling couch-potato watching mindless action movies in which things routinely explode:
"That blew up real good!"
So, many native speakers will think you're an uneducated bumpkin if you say "That worked out real good". Telling them that you're a descriptivist not a prescriptivist won't get you very far. They are not likely to know what those words mean.
I don't care how relaxed people get about things like this. I still like the idea of distinguishing between an adjective and an adverb.
To me, "That turned out real good" means (e.g.) "That turned out not to be evil."
"That turned out real well" means it turned out the way it was hoped or expected to.