Focusing on the difference in amp to speaker interfacing through the passive/active configuration and the effect it has/what it facilitates sound-wise (which also, to some extend, comes down to the Hypex DSP section in the active scenario) it’s important to have in mind that, presumably, you’ve only heard either amp - the Luxman and the Hypex solution - in each their particular configuration, passive in one and active in the other, and this is not trivial - certainly insofar what you’re pursuing here is a more isolated assessment on the different amp designs/topologies, or active vs. passive more fundamentally for that matter.
An active setup isn’t confined to plate amps of a certain design nor a DSP that’s tied to it; try imagining using 2 of your Luxman stereo amps to run your 2-way speakers actively with a 2 ch. input/6 ch. output external DSP, and then setting up your sub towers actively with Hypex plate amps and using the same external DSP. Yes, it would be more expensive with the need for yet a Luxman amp + an external DSP, but for the sake of the experiment ignore that for a moment and consider the following: you would "get to know" your Luxman amps in a different context, one that would free them up and which, I’d argue, could make you have your cake and eat it too.
As it is though you’ve placed yourself in a bit of a quandary: a particular active scenario has you yearning for certain traits of the passive one, and vice versa. Coming down to it class D technology more broadly has something to offer that would border on the Luxman, and conversely the Luxman is only one tasting of class A/B. Not to mention what the interference of a passive crossover between a given amp and speakers, or its negation, does to the sound - both of that generated by the amp and that coming from the speakers.
Bridging the divide here and getting more or less the best of both worlds is certainly possible. To me active is the only route, and once you make that decision and refuse to let yourself be limited by a particular amp design, a bundled solution or other, there’s really no reason why you won’t find yourself outside of named quandary - not least in light of your entrepreneurial spirit and technical insights.

