IMHO, I'd say not too much as turkeys are not concerned with power outages and typically not on barrier islands.
If there is flooding, they will find higher ground.
If it were spring time; then yes for the eggs or poults with the additional rainfall, but by now poults can take care of themselves.
Lastly, this is a matter of where one thinks the Osceola and Eastern dividing line is; with Ian being so far north, there would be less impact on the Osceola.