> Option to name the groups, similar to edge's vertical tabs?

Right click on grouped tab and select menu item.
Tab Group > Show Group Label

> Also allow us to remove the top tab bar?

No API for that.
Ref: Add ability to hide native tab bars · Issue #5 · asamuzaK/sidebarTabs
https://github.com/asamuzaK/sidebarTabs/issues/5