For me, I do not like the look of a damaged plant.
I cut ...I do not like the look especially if the plant is a focal point
However last fall I had damage from a hail event and I elected to keep the leaves on for the winter.
An advantage of being in central Fla is your plant will fill out in a month.
I am assuming that the plant is established in your garden, if you cut the leaves you will be fine.
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