As mentioned, it handles large temperature swings better than the more common soda lime glass. This can be useful if you have say a casserole in a glass dish that you prepped and stored in the fridge or freezer. When you go to bake it, if you have a borosilicate dish, you can take it out and put it straight in the oven. Soda lime glass has a much higher chance of shattering if you do this.

The downside of borosilicate that no one seems to mention is that it is a good bit more fragile when it comes to mechanical shocks. So, if you accidentally hit it with something while it's in the sink, there is a much higher chance that it shatters there.