One of the bigger contraindications for DC might well be plain and simple fusing. That's a lot of power to deal with, even more under fault conditions from a battery that size. Need special fuses for that, and moreso for the higher ratings.
And yeah, I don't know where you'd be using 10kW+ for, that's light-industrial processes like a machining center, induction heater, etc. Which, would be pretty badass applications, but that's also quite a big solar panel to keep it supplied on a day-to-day basis? Would be interesting I suppose. Needless to say, much care is required to operate such equipment, so too its wiring.
An inverter has a small downside (a little less capacity; so what, tack on another panel or two?) and many strong upsides, especially that it's a standard setup that is widely supported and well understood by many manufacturers and installers. If you want to deep dive into these things, at whatever level, wiring, equipment, electronic design, that's fine, but if you just want a system, don't underestimate the value of a standard approach.
Tim