We do work with T1 diabetics, and the weight loss prescription does bypass that line of questioning.
BUT. Cards on the table about qualifying for GLP-1 RAs: most insurance policies still don't include weight management medication, and if they do it is difficult to know how your insurance will react until the doctor writes the prescription. I know people smarter than me are working on changing this about the US healthcare system!
So we'd have to see exactly which medication was a fit after a conversation with the doctor.
Which state are you in by the way?