According to Hamilton, Niehaus is challenging evangelicals to use ANE background material from a seriously Christian and Biblical basis. In other words, the ANE background material should not dictate how one understands the Bible. The Bible should dictate how one understands the ANE material.
The works by Niehaus that I’ve read and consulted before have all been very good. See especially his commentaries on Amos and Obadiah in the McComiskey set on the minor prophets.