If I were an NBBA team, I'd be more upset at playing another NBBA team than at playing on the road for games a bit more than 50-50... meaning that I care more about the draw than the HC determination I guess.. Especially since the last few rounds are neutral court now.
I think that it's all random, both factors, the draw and the host. Random drawing & weighted hosting may seem like a good combo for 'competitive balance'