I don’t think anyone uses alpha/beta terminology to simply mean “the hierarchy”, and I find it disingenuous that you keep arguing as such.
The common interpretation is that “an alpha” is someone/thing that can take over a group by being the strongest (where strength in wolves is domination through physical strength, and humans in social domination). This is the myth. Hierarchies exist, but not for this reason.
The comment I responded to explicitly questions hierarchies in nature. It suggests that leadership is "perfunctory" and that "with animals it usually comes down to a more mixed hierachy".
The common interpretation is that “an alpha” is someone/thing that can take over a group by being the strongest (where strength in wolves is domination through physical strength, and humans in social domination). This is the myth. Hierarchies exist, but not for this reason.