I fully reject the whole “the website isn’t art”, “the website isn’t about you”. That fees so myopic. A website is part of developing a brand identity. It is about expressing your values, while also providing information/a service (assuming we talk about companies). Art is about communicating feelings, emotions, a message, there is a clear overlap with a brand identity here
But that isn’t the point at all.
For most businesses, you’re not the target audience of your website, your potential customers are.
Agree. Show people your vision. Make them understand it the way you see it. Otherwise you're publishing the same ineffective pablum we see everywhere.