I have always been intrigued by the reference to one breaker tripping faster than the another
But this is the way I address the issue:
Either a breaker trips instantaneously or it trips over time in response to an I2t curve.
If one refers to a fault, either arcing or bolted the breaker would trip instantaneously if and when, if ever, its magnetic calibration has been reached. That is there would be no time delay. If one could be assured that breakers of equal ratings from different manufacturers were subjected to identical faults, the one with the lower magnetic calibration would trip first of course. If it is an arcing fault the fault current may trip the lower calibrated breaker being that it is more sensitive and never rise high enough to trip the other.
Should there be a bolted fault that rate of rise of the current most likely will be instantaneous in all practicality where the trip times would not be an issue.
Also, if one were to review a trip curve it should be noted that there is a window for allowable calibration.
You will find that the common SqD QO mag calibration is between 6 and 11x the breaker rating and if subjected to a fault above that calibration will trip in 1/2 to 1 cyc. Ref. curve 730-1
The C-H BR breaker 7-40x also opening on less than a cycle at a current that exceeds the calibration, ref curve SC-4559-95.
The C-H CH breaker 7-30x, opening on less than a cycle at a current that exceeds the calibration, ref curve CH-4556.
I couldn't get on to the GE site as it was so slow it stopped loading which could be like their breaker trip response time, so I couldn't evaluate the GE breaker.
Considering that the QO is calibrated within a 6-11x window and the others in a 7-30 or 40x window the trip times could be the same if all were calibrated exactly the same in a 7-10x the breaker rating range which all have.
However the It is possible that the SqD could be calibrated below 7x, or down to 6x while the other may exceed the SqD's max of 11x or up to 30 to 40x.
What it may boil down to is the manufacturers concern over rejecting breaker with lower calibration than published. It would make more sense to shoot for calibrations in the higher range where there would be less of a risk of rejection and still be within their published trip curve values.