Can it be made not to show WebGL, embedded video, and so forth? I enjoy a very serene internet using w3m set to monochrome, with mouse and images turned off. Every now and then it's necessary to use a graphical browser, and it's the sensory equivalent of being woken up by a toddler at 5:30 on Christmas morning.
What you call "serene," I would call "austere." That's not meant as a denigration, mind you: I'm very curious as to your viewpoint here. What do you enjoy about such an experience?
I find the ordinary internet terribly overstimulating. It's a constant din of people screaming for my attention. Even relatively sober sites often have distracting designs that make it hard to focus on the content. Text mode is calming, it cuts straight through the clutter. In text mode, authors have to distinguish themselves by saying something interesting, and it's a lot easier to decide whether that's the case when they have nothing but words with which to make their arguments.
The major benefit is that I don't enjoy an "experience", I just read the content and leave. So much of the modern web is built specifically to prevent that.
I like it for reading. I like how all the text is displayed the same, in a fixed width font I'm used to looking at. There's nothing to distract me or get in the way.