Do I have a branded smartphone (HTC Desire)?
Being that you get a T-Mobile graphic then I would say yes you have a branded Desire. Having said that my father has a branded O2 Desire and he has already received the Froyo update (today - Monday). I too have an O2 branded Desire, but I have not received Froyo yet which I suspect is because I am on a Business plan with O2, whereas my father has a personal plan.