Almost a decade ago I used to do this too. When the current browser window got too messy and I wanted to clean up I would just drag the window on the second screen and start a new browser on the primary screen.

Browser updates and accidental reboots (this was Linux and I accidentally typed “reboot” on the local machine instead of the remote server) were fun.

Nowadays I just don’t bother. If something is truly valuable or needs to be addressed I will bookmark it otherwise I let it go.