Eventually, Izzy's going to start naming all the things she can do. She's going to struggle with it because she's often indecisive when it comes to selecting things that are supposed to be her favorites. Also coming up with fitting names for things can be difficult. Both of these things were so much easier when she was younger but now there's so much more information to process. For now Izzy will use temporary names such as Long Arm. It's a little clumsy and direct but it will work for now.
You might think that Izzy would name the cape Superion, but it's not nearly long enough for that to work. However when she learns she can make it longer perhaps she'll changer her mind.
Don't worry though, Izzy will figure it out.