I'm not much of a tab person, so this is pretty personal. My way to cycle through tabs is `SHFT + ⌘ + [ ]`, or to see the "Tab Overview" with `SHFT + ⌘ + \`.

Honestly, I'm not even aware of the Chrome tab-switching you mentioned, I use the same `SHFT + ⌘ + [ ]` to go between tabs.

I'm more of staying with as little and minimal extensions, plugins, menubar apps, as possible. And learn to use the native commands/shortcuts as possible. Perhaps that is one of the reason.

The project does look nice. Best of luck and have fun while building it.