I find this interesting to hear from your experience in this context. I can see what you are saying, because the sorts of practices (with what little exposure I have to them), are the sorts of things that are conducive to altered states of consciousness (ASC). So yes, those practicing them will likely have experiences. What this triggers in my thoughts are the Charismatic and Pentecostal Christian practices. I'm not speaking of their belief structures here, but the actual types of practices they engage in. There is typical a lot of trance-inducing practices, the preacher pounding on the pulpit like striking a tribal drum while chanting, "Jesus, Jesus, Jesus, Jesus, Jesus, Jesus, Jesus", etc. (I've been in these meeting so I am speaking from first-hand experience). People "dance in the spirit", jump up in down in place, singing chant in repetitive music, swaying and rocking from side to side (Sufis do this too), and engaging in glossolalia, speaking in ecstatic utterances, and so forth. All of this is moving the practitioner into altered states of consciousness.
How they then interpret these experiences will of course be within the framework of their religious structures. For the Charismatic, these ASC are interpreted as the Holy Spirit moving in the church, sweeping in waves across the worshippers, touching individuals, speaking to the congregation. They are have an encounter with the supernatural. In tribal religions these may be seen as various animal spirits and the like. But they are both having an esoteric experience within the exoteric context of their religions, beliefs, practices, etc.
I assume you mean esoteric journeys and not "enteric", which pertains to one's intestines?
There is another factor here to mention, tribal practice as you are describing it can be understood more generically as group practice. This is the "we space" that is created by group participation in ritual form. This is unique in that it is a shared created space that is greater than any one of the individuals, but informs the individuals participating within it. There is a group energy that is created which itself can take the individual "out of" himself into a shared space. This very much fits my description of the Charismatic church experience. It is quite different than just sitting down and be taught lessons as a group. Everyone contributes, and that is a distinctly different thing. Agreed?