where I live everyone leaves the circle sticker or the cool base sticker (full brim) on it's supposed to make it look like a brand new fitted obviously if the hats get dirty it becomes unnecessary but it depends on whatever you want to do. Also here in brooklyn you ONLY bend a cool base fitted if it's not a cool base wear it flat
I have taken it off. I don't like the stickers on the hate. I use custom stickers to stick on the rear window of my car. I have recently purchased some from a sticker printing company. These don't look good on hat.