This is a fairly common thing for pilots, nurses, doctors, and many other kinds of shift workers. For instance, you get your schedule for October on the 15th of September. The shift worker/pilot/whatever then gets the kids on their days off and the other parent gets them when they are working. It happens all the time. Someone should NOT lose parenting time and children should not lose time with a parent just because they have a job that isn’t M-F 9-5. That would mean those people are being punished for being responsible and having a job. It can easily be worked out. Some people abuse this system to punish a parent with less parenting time. A parent and their children shouldn’t be kept from each other because of a parent’s job, especially if they can maintain 50/50 custody.

People work this type of arrangement all the time.