The old web is still there, almost invisible under the piles of corporate javascript applications. There's probably more old web now than there was when the old web was new. It's just that in terms of relative ratios it's buried under so much crap and search engines are so bad no few can surf it. Heck, there's even still usenet and people posting there like myself. It's not dead and it's not spammed anymore, and it's a true federated protocol.
But it is easy to be the change. Self host your website from your home computer. Don't use Chrome or Chrome derivatives. Don't put computational paywalls in front of your services like cloudflare or even Anubis. The truth is that for most websites in most situations, all that is not needed. And most importantly, surf the web. That'll require setting up the modern version of webrings: feeds. And sharing feeds with your friends and peers.