FWIW I don't really think your claim about HGVs needing a highly tailored booster is true. The Avangard for instance is launched from Sarmats, old UR-100Ns, etc.
We don't actually know the general design of the Avangard. All that is known is that it is a "glider".
And as obvious now, common hypersonic glide body and wedge shape HGVs are both gliders... HGVs.
The two above are arguing within the same set. But it's also worth remembering that some HGVs may not require a tailored booster while others do. Because the Avangard may be using same old boosters as non-HGV ballistic missiles (and let's assume that Avangard is a wedge shaped HGV) does not mean DF-17 recycle any old non-HGV ballistic missile's booster.
As for the argument over glide body geometries. The LRHW is a glider like the DF-17 is a glider. They are two distinct design approaches.
I recall seeing a paper with a figure summarising some of the glider geometries China has tested throughout the 2000s and 2010s. This set of shapes include quite a few double conical designs - what the US calls the common glide body. It
seems to be a very basic way to achieve HGV. The wedge designs seem a lot more fantastical I suppose. For one, the aerodynamics of the wedge shaped glider designs imply far greater lift ratio compared to double cone gliders. But it could also mean reduced speeds and much greater difficulty in control. If China can get the wedge shaped design working in the 2010s, that should say quite a lot about its capabilities in aerodynamics and flight control tech. Consider its well known list of the highest speeds achieved in various hypersonic tunnels helping with this.
DF-21D is MaRV, not claimed to be a HGV. DF-26 is likely just a longer ranged version of DF-21D achieving control using MaRV. LRHW is the US' pursuit of a DF-17 like equivalent. Would be lovely to see what a DF-27 HGV section looks like. And of course, the Avangard.