Its been my experience that dormant fig plants exposed to temps in the mid teens overnight will have some tip damage. It happened to some of my plants last year even in the garage when outside temps dipped below -10 or so.

Thanks.

I have been wondering if I should wrap it in some way. I know many do. I have doubts about that because after all, it's not like you are keeping heat in, right? It's not a warm blooded creature. But it might keep any stray wind off.

I need to prune it in the spring anyway, so if tips are killed in my case it's no big deal. The tree is shaped like a giant "Y". I want it to be short and bushy. I have cut the tips before, though, and the tree just sent out a new leader from the next node down. No sprouting from lower nodes.

I don't, but people wrap their plants is to moderate the temperature swings over short periods of time such as overnight. If the air temperature drops to 10 for an hour or two, a well wrapped/insulated plant may only drop to 20 or something like that which would be less harmful. Additionally, it may keep the plant's tips from drying out during extended periods of cold dry spells.

If you plan to prune your plant you'll want to be able to pick and choose which tips you eliminate to attain the shape you desire. If you have significant tip damage you will have fewer to choose from and will likely have to remove more than if you didn't have the damage. This could slow down the plants growth as it has already setup the buds and will have to replace them before it takes off. I would bet that slowing down the plants growth will also slow down the fruit production.

Excess vegetative growth could also inhibit fruit production, but you'll want to get cranked up asap and then possibly nip the tips to get it to set fruit.