It can be common for type 1 diabetics to also have thyroid issues, which can contribute to hair loss. I have Hashimotos in addition to type 1 and take medication for it. It’s worth having a chat with your endo about it! They could check your thyroid levels with a simple blood test and see if that is contributing to hair loss.
I didn’t know about the DKA/hair loss connection but I do know that stress of any kind can cause hair loss for some people. My daughter was dx’d 2 months ago and while she hasn’t experienced hair loss, I HAVE! It happened when my father died a few years ago too. Took about 3-4 month to cycle through loss and regrowth.