In the real world, the contact would close once, then the DC in the circuit would keep the contact closed. However; If it was a trip contact, every digital relay will have some kind of seal in logic to prevent the contact from chattering because that can damage the contact, so the contact would never chatter in the real world.

The only time a pickup is directly connected to the output contact is if an engineer incorrectly applies an instantaneous element directly to an output without passing it through some kind of seal-in logic.

If you are testing an inverse element pickup, the chattering contact means that the disk is closing-opening-closing-opening-closing-opening, etc. I wouldn’t call that pickup. The pickup should be when the disk is turning, so you would want the light to always be on. This definition is problematic in SEL relays because a one sample metering error sometimes causes the pickup Word Bit to flick off, even if you are well above the pickup. That’s why I usually call pickup when the chatter is more on then off. A more accurate pickup test would look at the reset Word Bit instead and then call pickup when the reset light is off because that’s when the relay really starts timing.