I just swopped mine with another student after about a year plus of having it. He looked like he had a tiny bow tied around his dogi and mine has been way too long from the start. Now we both look normal belt-wise...I'd been tucking mine into my hakama as I didn't like the long trailing belt smacking me in the face on backward falls
. Now I wear it like everyone else and he doesn't look like his belt can't go around his waist.
So no, I'm not very attached to my physical belt...anything that works is fine with me.
Once swopped my hakama too with a friend of mine who was shorter than me and hers was trailing on the floor which she didn't like.