Disclaimer - this isn't exactly my area, so standby for others to confirm or refute.
A safety switch would normally OPEN a circuit. To override the open, one would have a NORMALLY OPEN override switch wired in parallel with the safety switch.
It makes sense that override switch, when flicking it back to the normally open position after using it, the switch should be designed internally to force the contacts open.
It would be a nightmare if the override switch contacts failed to open, perhaps being welded closed (might be more likely than you might think given that it's already an abnormal operation circumstance with safety switches opening, etc.).
I think that this requirement precludes many push buttons where the contacts are separated only by spring pressure. That's a bit counter-intuitive. Interesting...
Stand by for others with some actual expertise in this area.