There are multiple reasons for this. In APScheduler 3.x, schedulers do not have any means to signal each other about changes happening in the job stores. When the scheduler starts, it queries the job store for jobs due for execution, processes them and then asks how long it should sleep until the next due job. If another scheduler adds a job that would be executed before that wake-up time, the other scheduler would happily sleep past that time because there is no mechanism with which it could receive a notification about the new (or updated) job.
Additionally, schedulers do not have the ability to enforce the maximum number of running instances of a job since they don't communicate with other schedulers. This can lead to conflicts when the same job is run on more than one scheduler process at the same time.
These shortcomings are addressed in the upcoming 4.x series and the ability to share job stores could be considered one of its most significant new features.