| Is it possible that when a circuit breaker in a service box opens due to a | short in the circuit that it is controlling, that the lever does not (also) | move to the other position ?
I've seen such breakers. My guess is that the design has an internal only mechanism to release the spring. Such a design would also allow the breaker to trip when the human is trying to close it onto a shorted circuit, and be sure it can open back up despite the human trying to force it to close. The human has to flip the level back to the off position to catch the mechanism to try closing it, and re-tensioning the spring, again.
If a breaker (and I've seen these, too) flips the lever, it MAY be possible to manually hold the breaker into the closed position despite the short circuit condition, which could cause serious problems. I would not want a breaker that does that.
| e.g., that there might not be any visible indication that it has tripped ?
I know Square-D has breakers with a red indicator when the breaker tripped. The movement of the internal mechanism simply shows a part painted red in a visible window area. You can't see it in the dark. Use a flashlight.
| If so, is this fairly common with circuit breakers in a house service box ?
I have no idea how common.
| Likely ?
Sure.
| Why ?
Why not? See above.