In the end though I just feel like it's extra cognitive load to have to think about two different shortcuts to do what is in many ways the same thing.
Say, I've got two browser windows open and a code editor open. I'm wanting to flip through the browser windows to check on things while I work in the code editor. In reality I'm just wanting to juggle the three windows, but depending on if I'm wanting to go from browser to browser it's a different shortcut than if I'm wanting to go from editor to browser. And there's a good chance I'll then need to swap from editor to browser, then issue a different shortcut to go from that browser to the other. When I could have just hit the same shortcut twice.
I've just never really encountered a situation where I've felt like it added something, but I'm constantly having cases where its more annoying.