Kohler still requires low voltage and line voltage to be separate.
Generac allows them together. If fact, Generac promotes the use of the GenCable, which is all-in-one, TC-ER cable, with power and control in one cable. On Generac, some of the control wiring, i.e., utility sense and battery charger, are 240 and 120 volt respectively.
Kohler RDT ATS uses a 2-wire start, but that still has to be run separately, per Kohler. You could run the battery charge circuit with the power conductors, but sometimes that is difficult. It's already hard enough getting Kohler's power conductors into the back of the unit. Only fittings I've been able to get to work has been a rigid LB with a chase nipple. If you upsize the conduit enough to run battery charge wiring as well, the LB probably won't fit behind the lid. All in all, Kohler did a very poor job of designing the residential air-cooled units, from an installation perspective.
Kohler RXT ATS require Belden 1075A shielded cable, which, at least in my area, is not available. And it too must be run in a separate conduit.
From an installers perspective, Generac nailed the engineering. Kohler, not so much. I have to upcharge around $800 to install the same size Kohler unit over a Generac.