The answer is YES!!!!
TAKE YOUR IMAGE SERIOUS!!!! Fans actually remember what you look like more than your actual music. Look like what you talk about in your music. I mean if you are not faking it then it should be easy. But if you are faking, prepare to do a lot work protecting that. my suggestion is to be who you really are as artist in your music and the content you put out to the public. So if you are a backpack rapper, show that you are a backpack rapper in your music and content, If you are trap rapper, show that your a trap rapper in your music and your content, If you are a club type rapper, then show that you are club type rapper in your music and your content, If you are boombap rapper then show that you are a boombap rapper in your music and your content.
Protect your image at all times. Think about Branding. Kind of like Snoop Dog or Whiz Kahlifa, If I ask you to name a rapper that raps about weed? More than likely, you will say either of those two names. So what you look like really matters to your FANS.