

Yep. One reason why those situations become less frequent over time is that one learns to avoid such designs. Thought process: “Sharing data across threads is annoying. So I’d rather avoid it. Maybe message passing can solve the same problem as well?”
In Physics we mostly used right-hand, but X-right, Y-up, and Z pointing towards the viewer.
But that’s details. The only important choice is between left- and right-handed, as that affects the signs in the cross product (and some other formulas - generally everything that cares about which rotation is considered positive).