Stop stations sit on the machine itself, front and rear, on dual contacts. Press one and traction torque is inhibited and the brakes go on. That path is wired and short, with no software standing in it.
The more important property is what happens when nothing is asked at all. If the safety controller stops executing, the safe outputs de-energize on their own. If control power is lost, the brakes apply. A machine that must receive an instruction to become safe is unsafe the moment it cannot get there. This one falls into the safe state, and getting it out again takes an intact, powered, agreeing machine and a deliberate act.
Human safety comes first, on every line in this house, and this is where that becomes an arrangement of hardware rather than a value. A person clears a stop by walking to the machine. Nothing clears it at a distance or on a timer.