WHAT IS THE DIFFERENCE?

No difference in institution or organization formed! Each is a functional unit; body corporate.

All are divisive, separations, walls, schisms, pens, stalls.

All are denominations! Please identify one essential requirement for a denomination that "the local Church of Christ" does not have.

Names, brands, labels for institutions.

Names mark, distinguish them one from another. Names are both inclusive, including all who are members; and exclusive -- separating and dividing from all others.

The institution or organization features/essentials are identical! -- CA.H