Before revision:  In the case of a finite jump measure with a bounded intensity, one can also handle a state-dependent intensity process, which is quite relevant for many practical applications  .
After revision:  In the case of a finite jump measure with a bounded intensity, one can also handle a state-dependent intensity process, which is quite relevant for many practical applications . Based on the stability result, we also provide a rigorous justification to use arbitrarily smooth coefficients in FBSDEs for any approximation purpose whenever rather mild conditions are satisfied .