Nope, not quite. The study you cited talks about subcutaneous blood flow. Subcutaneous blood supply is governed by ad-hoc created infrastructure during anagen phase which triggers adipogenesis and after that angiogenesis. In Androgenetic Alopecia, however, your follicles in the bald areas never enter anagen phase again. Thus, adipogenesis and angiogenesis are never started as well - and so, you also dont get subcutaneous blood supply.
It is a correct observation that subcutaneous blood supply is strongly decreased in Androgenetic Alopecia patients, but the question is: How useful is that knowledge, given it's a downstream effect?
The most important thing to take from this, is, though: Blood supply is decreased because of Androgenetic Alopecia; Androgenetic Alopecia does not happen because of decreased blood supply.