No this does not work. I had the FT03-Mini with the NT06 Pro. A 120mm fan was mounted on the NT06 blowing into the PSU. Problem: The NT06 gets hot, so the air blown through its fins gets hot as well and enters the PSU afterwards! This makes your PSU use 40°C - 50°C hot air for its cooling, meaning the PSU gets hot and loud.
Interesting. And so you reversed the psu, or the heatsink fan? Did you measure temps afterwards?