This is a really tough call and I can only answer it from my experience being part of a highly mobile community. Many families are happy to do the moves to stay together when the children are younger, as the family unit is more integral at that age. As they progress into high school, their peer groups & community become a bigger influence on their lives, and schooling becomes more important, and they have to think about pathways to higher education, trades, etc. At this age many families often choose to stay where they have a stable base, and the mobile partner travels for work.

On the other hand, it might also depend on how supported you are in any location. For example, if you have an extended family network in one place, which gives practical support and a larger family context to the kids, then perhaps it's worth staying there and using those supports while doing the FIFO thing.