The press release (
http://sst.sega.jp/news/201505.html) contains some commentary by Naofumi Hataya on the waveforms for 2 tracks from GOLDEN AXE III and he also named their composers.
Wilderness : Tatsuyuki Maeda
Ride The Whirlwind : Naofumi Hataya
I'll add the info to the original album as well.