In general inverse-time CB’s are inherently similar. Smaller branch CB’s might have slightly different trip curves based on how the manufacturer designs them when comparing them to say the 200 amp main CB in this case.
An example would be to think about an AC unit that runs at 20 amps. Typically the CB protecting that circuit would be rated for about 35 amps. During start up the starting current could be up to 600% of the running current or about 120 amps. That’s certainly well above the 35 amp trip setting on the CB but it doesn’t trip. That’s because it’s inverse-time design allows it to pass a large amount of current for a very short duration of time, enough time for the compressor motor to start. If these breaker were not designed this way then large inrush loads such as motors could never start.