Yes, each press having its own characteristic, so an individual ICC for each press is the most perfect.
Regarding the reality to have separate ICC for each press, whether this is workable. It is depends, what is the quality is seeking for, how many presses involved, the nature of job, production control, etc. Many factors would be affecting this.
In the past, no one can imagine that the sheetfed press min. print run would be drop to a few hundred. In some research, if jobs is enough, the min. print run for a press can be as low as around 300 prints.
There is no a single way to do that, the process flow arrangement would be vary.