Earlier quoted context omitted.
I think OpenAI really needs to rethink its product naming, especially now that they have a portfolio where there's no such clear hierarchy, but they have a place along different axis (speed, cost, reasoning, capabilities, etc). Your summary attempt e.g. also misses o3-mini vs o3-mini-high. Lots of trade-ofs.
They can still do models o3o, oo3 and 3oo. Mini-o3o-high, not to be confused with mini-O3o-high (the first o is capital).
Model 00oOo is better than Model 0OoO0!