Does teaching an omnibus mand preclude the development of specifying mands?

When problem behavior is controlled by a synthesized reinforcement contingency, a simple omnibus mand that yields access to all reinforcers simultaneously has been shown to effectively replace problem behavior. The question arises as to whether teaching an omnibus mand will preclude the acquisition of specifying mands for each of the combined reinforcers. In this study, after 3 students diagnosed with autism acquired an omnibus mand ("My way, please") that yielded all identified reinforcers simultaneously, specifying mands (e.