Earlier quoted context omitted.
I think it's either "hierarchical state machines" or just "statecharts", otherwise it's a bit like saying ATM machine or CC card.
Perhaps, but I object to the "machine" phrasing. Ordinary finite state "machines" (without hierarchy) aren't machines either, they are just diagrams of something that could be a machine or something else.
state charts (FSM with history pointers)
pushdown automaton (FSM with a stack)
turing machine (FSM with a tape)
the terminology is well established.