Hello, and good to hear your tree is recovering. I don't think it makes any difference what happens with the unripe figs. They'll probably all fall off or be devoured by the wildlife in the course of the winter if they have any food value. May as well leave them be, I think. They certainly won't ripen any more or get any bigger now that the tree is dormant.
Happy Christmas to you as well. And may you harvest some figs for pudding .. . next year?