I personally experience this problem. However, I "solve" it by opening up a few windows. I use specific windows for specific content. So, window #1 is random articles I set aside to read, #2 is work-related research, and so on. It's still not ideal, but better than nothing. I think the issue is that there is only one convenient way to organize open documents -> VERTICALLY. It's just much easier to scan and scroll through (and can't get the issue where the tabs are quickly indiscernible due to lack of space).

Ideal solution (IMO) is multiple browser windows horizontally and tabbed content within each vertically.