Many of the trees that were damaged by the ice storm even if the limb damage was minimal, there is disease that sets in with the exposed broken limbs. A diseased tree usually needs to be cut down or the tree has a chance to fall.

I have properties in Okc and had to cut down many many trees where the visual damage was minimal but disease had gotten in to areas of broken limbs caused by the ice storm. The bradford pear tree seemed to be affected the most.