I have been there. I suppose I meant teepee in a more general sense to represent wikiups, great houses, cliff dwellings, igloos, wigwams, long houses, etc.
Indeed there were diverse cultural practices and we tend to generalize things. Like the romantic misconception of the pure noble savage living peacefully with nature, much different from us Europeans. For example, there is evidence that some elements of the Ancestral Puebloans practiced cannibalism, but perhaps more commonly known for deforesting their ecosystem. And may have moved into cliff dwellings to escape other tribes who were trying to kill them or steal crops or maybe take slaves.