Well no, the Firefox equivalent to Chrome profiles isn't tab groups, it's Firefox profiles, or possibly containers ( https://news.ycombinator.com/item?id=37953149 ). Though I'll agree that Chrome's UI is better.
I tried the containerised tab groups and they were OK but some of the menu logic defeated me. Having multiple Gmail identities proved almost impossible to "automate" suggesting the url/cookie mapping and storage wasn't able to discriminate different Gmail bindings. It kept selecting one tab group for the two accounts by default.
I would try multiple profiles if the UI was better.