The chrome implementation is way better than of Safari. I don't use the Safari tab groups because they lack features like pinned groups which i need to find it useful.
The Chrome tab groups are less useful as they don't really present a single workspace with only the tabs from that group, they are just literally a grouping of tabs all within a single workspace.
I use tab groups to switch tabs based on projects and I want full separation of those tab groups. The Chrome and new Firefox groups don't do that.