To me, that is an excellent idea. When you name something it gives it meaning and to me it builds friendship/relationship. I never named my stoma because I never thought about it.
I did however name my J-pouch, my J-pouch's name is The Emerald City Of OZ, I like to call her Emmie for short Ever since I named her, I felt closer to her.
Have you named your J-pouch? If not, what would you name her or him???