Does Atuin offer ability to save current path (with timestamp as a bonus) for the command as well?

Looking at OP it looks like it does " recording additional command context"

Often (meaning once every few months) I have to SSH to some less used machines and remember a few incantations where path and time is crucial.

In bash there is a hacky way to add current path and timestamp to history, but I've never gotten it to work exactly right. If you add timestamp then it seems to duplicate the timestamp when you repeat the command.