I've never seen Luke Cage, but I know a decent chunk about character consistency.
In fiction, we expect a character to behave in a way that makes sense with how we have already seen them behaving so far. If they're established as cowardly, we expect them to chicken out, if they lie a lot, we expect them to keep doing so, landing themselves in more trouble.
But drama is conflict, and a satisfying character has to change for a story to be satisfying (unless it's a fool triumphant story, in which case the character doesn't change, just everyone around them does).
I think most people's problem with character consistency (or congruency) comes when a story tries to change a character too quickly or without proper context. If our cowardly character starts a new season saving people left and right, we feel cheated because there's a whole lot of change they must have gone through to get there that we didn't get to see.
A good writing rule of thumb is that characters reveal their truest selves when placed under pressure. So if a character is talking about all these brave deeds they did, only for a sudden emergency to show that they're actually a coward, this isn't inconsistent, it just reveals true character.
Obviously you can have characters behave in contradictory ways to show that they are multi-dimensional characters, but since every line of dialogue, every single action in a work of fiction must either advance the plot or reveal character (or both), sometimes a writer ends up squeezing something in there that is inconsistent with the way a character is already established.