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No, That is why you should put a marker on it, (same goes for strongholds and towns) to remind you that the FP doesn't recruit there. Technically you can mark forts as captured, but really what's the point?
However, if you leave it unguarded the FP can take it back simply by miving a unit into the region.
Thank you very much for the quick reply, and for confirming what I had thought!