However, these Hohmann, or tangent,

Again, I am assuming the state of the art is to optimize transfers.

I wish to clear up a point of confusion. Notice I did not use the word "optimal" in my definition. Optimization is the method used since the 1960's for orbital transfers (to the best of my knowledge). The procedure numerically minimizes (optimizes) a variable of interest (delta v's) from a set of orbital equations--think LaGrange multipliers. It produces the most fuel efficient transfer ellipse between two orbits--no gas stations in space.

Well, it's always best to do inclination changes when you're going fastest... so I can't tell from these diagrams if what you're doing is optimal. I'd just do the first burn so the transfer ellipse has its apoapsis as the periapsis of the desired orbit, then do the plane change and any circularization when you get there.

It is not moot. You want to "incline" the best orbit. Let me show this in the plane, first.

Now, I would like to give my (new) definition of a Hohmann transfer.

The Hohmann transfer (Hohmann, 1925) is the most energy efficient two-impulse maneuver for transferring between two coplanar circular orbits sharing a common focus.“Orbital Manuvers.” Orbital Mechanics for Engineering Students, by Howard D. Curtis, Elsevier, 2014.

or I can change the name of what I do.

I think you got something backwards. Inclination changes you want to be going slow for.

The diagrams are not showing inclination changes, marklinick is still discussing co-planar examples.