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I have trouble imagining a set with separate horizontal sweep and HV --
especially a set with a reasonably sized CRT."

One comes to mind, the Sony KX 2501. It was dubbed Profeel. It had separate HV and sweep. It was a bit strange oin a way, under secrtain conditons wwhen the scene got brighter the raster shrunk slightly because of the mass of the electron beam. That is why three tube CRT based projectors have these seemingly useless couple hundred Kohm resistors or whatever in series with EACH CRT anode lead inside the HV splitter. This compensated the deflection sensitivity, if not, the convergence woulg tet thrown off with changes in scene brightness.

Quite a few monitor quality sets used disctrete HV. Proton, Sony, Mits., Pioneer. The fad didn't last long because back then component count mattered. now it does not as much.

The practice did continue with Sony in direct views into the XBR400 series at least, and then others did also. Ironically, Sony abandoned it.

In the latest CRT based RPTVs, they use an algorythm in the jungle IC to modify the geometry to compensate for both the variation of voltage and current in the HV, or ultor voltage. They stopped regulating it. You saw nothing..

I remember when a weak 3A3 would give you a zoom effect from the brightness control. That HV load made a loss across the HV rectifier only, and did not affect the sweep.