I think the step forward is to let website navigation become part of the browser chrome. There's space for a menu item for the website, or a dedicated button.
Maybe even on-site search could become part of the browser chrome?
We should break the clean separation between browser chrome and websites, a crucial component of the current web's UX and trust model, just to resolve a newly invented problem of arbitrarily avoiding always-accessible sticky navs?
You didn't understand and jumped straight into hacker mode. It's not really about sticky headers, it's about accessibility and serving users. Any implementation would need to take security into consideration.
This kind of integration would also be an improvement for web apps.
I think the step forward is to let website navigation become part of the browser chrome. There's space for a menu item for the website, or a dedicated button.
Maybe even on-site search could become part of the browser chrome?