Would not that FA disconnect need to be qrouped the other service discos?
yes. depending on how the AHJ interprets "nearest the point of entry" could limit just how much of the run needs to be installed so that it is not considered inside the building, even if only a short distance to the equipment where the "tap" was made.
I don't believe this supply to the FA would be permitted to be a additional service disconnect beyond the six that are generally permitted either so the six disconnect rule also applies.
More common may be a supply side tap to a fire pump, but that is required to be separate service and normally required to be remote from the general service equipment. Still must run the "tap" in a way that it is considered outside the building because it is still service conductors and not a feeder tap.