Seeems you are having trouble with opening time.
A few questions i'd been hoping you'd get into:
How does this thing work? Particularly , what is the function of the coil?
Does the coil hold the breaker closed, and it opens the contacts by a spring when electromagnet releases it?
Or--- Does the coil pull on some kind of trip lever, like a mousetrap, initiating mechanical actions by other parts to open the contacts?
In other words is this trip sequence begun by energizing or by de-energizing the coil?
Is the coil powered by DC or by AC?
....
Are you testing a brand new prototype or are you trying to reverse-design some obsolete gizmo for the replacement market?
In other words are we troubleshooting a design or troubleshooting an old piece of equipment?
Reason I ask these things is this -
An old DC coil with a few shorted turns will still actuate a solenoid.
But it will be slow to respond because the shorted turns oppose the changing flux whenever it is energized or de-energized. Just a few shorted turns don't change its DC resistance very much so you likely won't notice them with an ohm-meter, but an inductance measurement reveals them with good sensitivity.
I had coils the size of a basketball. Driving a nail into the side of one gave a 20% drop in inductance as soon as the nail hit copper, but less than 1% resistance change.
The coil lost a surprising amount of its inductive "kick".
Since you seem puzzled go back to the very basics...
You said early on there's something peculiar about this coil's insensitivity to parallel devices intended to absorb its inductive 'kick', ,,, so maybe there's something wrong with it.
Does it have a shaded pole? That's another timing trick magnetic designers use.
One solves a lot of mysteries by visual inspection with his mind's eye open to very basic physics.
old jim