We (me with a friend) created this page https://openwebdefenders.org and planning to create banners for websites that may want to inform their users on what’s going on.
If anyone wants to contribute somehow or have other ideas I would be happy to discuss on https://github.com/openwebdefenders/web/issues
I don’t know about web environment integrity or where this will lead but I remember the time trusted computing and TPMs came up. At this time, people were really scared that this is the end of Linux (on PC). Today, I use secure boot (with my MOK) on my consumer distro just fine.