I use to try everything available to group tabs regardless of browser. They all had their issues.

Eventually I just went with keeping things in their own browser window. With multiple monitors or a screen big enough to have separate windows the dragging and dropping of tabs works fine.

Then the issue becomes that you cant save tab groups :(

You can even use multiple browsers if they do something useful for a type of group. History and bookmarking becomes even more mysterious that way.

The extensions I used to save groups are all broken atm.