For a modeled case circuit breaker which most 120V 20A CBs are, your concern is the instantaneous portion of the TCC which is a magnetic element. It will essentially depend of the amount of force created by the current and the design of the electromagnet to force the trip mechanism open. If possible, I personally would try to size the number of drivers based on nominal rated current of the driver and CB rather then the transient characteristics and test to see what happens. Typically for a 20A CB, I do not exceed more than 12A of load. This allows for any potential concerns such as yours but also for future growth or changes that may required adding additional load to the circuit. Also, the amount of inrush current will depend on many different factors and may be restricted by source impedance. Another option is to discuss details with manufacturers of CB and driver if you have to be exact.
"Throughout space there is energy. Is this energy static or kinetic! If static our hopes are in vain; if kinetic ù and this we know it is, for certain ù then it is a mere question of time when men will succeed in attaching their machinery to the very wheelwork of nature". û Nikola Tesla