I think the shortcuts proposed above are more suitable for this use case: https://orionfeedback.org/d/1665-keyboard-shortcut-for-reordering-open-tabs
But after I thought about it a little bit. Maybe it is not so good to have such shortcuts anyway, because I can imagine, that the combination of Command + Option + Shift + Left or Right is very long and users can expect, that this shortcut is not used by any application. So I would expect this to be free for a custom action globally (Like moving a window from one screen to another).
So I would like to assign a shortcut to this functionality, but I would not assign a shortcut to it by default.
I hope it's clear what I'm trying to say. I'm not a native english speaker, so feel free to ask, if something is unclear.