In contrast the web of the early 2000s was awesome, because you already could do a lot of really weird things (bouncing mouse trailing balls, anyone?) resulting in self-expressing art-like sites - the pinnacle of these kind of sites were undoubtedly the Flash era.
So yes, depends on what one is after. Maybe both are needed.
If you like the geocities style more, then you can use neocities.
You need common ground to make it relatable, copying stuff is inevitable.
I agree that multimedia-based networked self-expression is limited these days, but maybe something else will spark a Gemini-like comback for multimedia in the future.
Writing is a lot more harder, than, for example, drawing. You said it yourself: "by the age of 10" compared to drawing, basically since someone can hold a crayon.
I understand and believe that children should be allowed to self-express, but quite frankly, nobody is interested in hearing what the child has to say because it's mostly awkward in execution and repetitive. The relatives and perhaps people who work with children professionally will care, but the general public won't unless it's particularly funny, poignant, or whatever.