To answer the OP's question: in a word, No.
The people ignoring Hayward's entire body of work this season are likely going to be sorely disappointed by his play in the playoffs.
The most likely scenario is that he cements his place on the Jeff Green all-stars where he shows up when he wants to, convinces a lot of people that his best game is his norm, and is plagued thereafter by inconsistency and mental toughness issues.
I'm not saying it's impossible for Hayward to have a couple great games (or even a great series), but he's going to have just as many games where he scores 0,4, or 7 points and makes people question why he's the fifth highest paid player in the NBA. Realistically, there's literally no chance based on what I've seen that he plays 4 series in a row without injury or retreating into his shell.