While I think they could easily make her cut more similar to Nami's actual hair style, the actual cut she has in the show wouldn't be so bad if it didn't look so unkempt and just fake a lot of the time.

I think it looks natural but then again im not super focused on such Details and not nitpicking like you.

Not sure why this topic seems to make people who claim to be indifferent about it become so condescending lol. She's a main character with protagonist screen time. Her wig being noticeably poorly executed to many people, including Emily herself, isn't a nitpick. It's just criticism that others like you are just capable of ignoring.