The only problem with this approach is when you go to the sides of the screen. Tabs should squeeze then to the opposite direction. For example, when you hoover over tabs on the left, tabs would squeeze to the right.
EDIT: And one more problem, it would be hard to "catch" x-close button, because movement would be proportional to quantity of tabs in the strip. But anyway I still think it's not that bad idea. And I'm happy you like it 🙂