I assume they would do that first (remove your diabetes gear) and monitor and treat you using their hospital protocol. I can’t imagine what a huge liability letting someone in an emergency treat themselves would be.
A set of instructions is a great idea though! Even if someone knows you well, having instructions for them to follow makes sense to me. And getting the point across that you’re T1 is really important.
There have been a couple of safety threads/posts that I recalled that touch on how to let first responders know you’re T1D already: