As a blusher and facial sweater myself in short I would say...it's complicated.
When I'm not too active, I find avert works great. I probably go a little red in the face but it does greatly alleviate the excessive sweating.
When I'm doing physical activity or in a crowded building with lots of other people, however, I find I go really really hot in the face when I'm on Avert. I can actually feel the heat coming off my face and neck.
On a side note I have a strong feeling (which I will need to confirm with my GP) that I have some form of hyperthyroidism which may be the underlying cause of my hyperhidrosis. If this turns out to be the case I will need to explore different treatments.
That's just my story anyway.