Color is a big part in our world for sure. Red is one of those colors that can spark fear, intensity, anger, negatively and a range of other emotions. It's also used to bring attention to something, so it's not always a bad thing.
That said, years ago we changed our main site colors from "Red" to "Blue". While our name is Big RED SEO, we changed just how often we use Red on our site. The change wasn't done lightly, but after split testing, and chatting with clients (important part), we made significant changes. Gone are the Titles in Red and even pictures of ourselves were found to be better received in Black and White rather than in full color.
Every business is different. Coca-Cola is a brand that is known for it's red color, but personally I find the footer hard to read due to how much red is in it. It's fine in the logo and menu, but the footer is overwhelming and I'd rather see it in Black or White. You'll notice even the "Read More" or "Learn More" type buttons are BLACK instead of RED. https://us.coca-cola.com/products/coca-cola/
St. Louis Cardinals are another that are known for their Red, but you'll notice they use a muted red color. I still think their home page is glaring during initial load and should be changed to black - especially since when the page is done loading, it goes to black. Seems odd to show a wall of red - https://www.mlb.com/cardinals