These modules still need a load control contactor to drop the connection between the inverter and genset.
Turns out my Kohler 14RCA has a built-in cooldown cycle. It's based on oil temp and so far the exercise cycles do not get the oil hot enough to engage the shutdown delay.
I have two Kohler generators, a 15+ year-old 15RYG and a brand-new 14RCA. The 15RYG has had a couple of incidents* (after over 3000 hours of use) that led to adding the 14RCA. I'm happy with Kohler generators, but wish I could have still gotten something more like the 15RYG, which is discontinued. It's a 4-cyl, water-cooled, 1800 RPM unit, compared to the 14RCA which is 2-cyl, air-cooled, 3600 RPM. The 14RCA is seems a bit louder, but the noise specs are nearly the same. Both units can be switched between natural gas and propane; the 14RCA is easier to switch, but the 15RYG is pretty easy once you know the drill. The 14RCA has a more modern controller, which includes a programmable exercise cycle and internet connectivity. The 14RCA is one of the few Kohler generators that is warrantied for off-grid use. If I could find a low-hours (500-1000) 15RYG I'd take that in a heartbeat over the 14RCA, in spite of the lack of modern features. The 4-cyl GM Vortec engine is a beast compared to the newer units.
The Generac ECO has an impressive warranty - much longer than the Kohler, so that may be an important factor. Probably not a factor in most of Vermont, but don't forget that generators has a significant de-rate factor with altitude. I'm at 7500', which costs me over 30% of the rated capacity. Of course, that's more than 3000' higher than the highest point in Vermont, so you won't have anywhere near that level of concern.
*Both incidents occurred at Christmas in the snow, of course. The first time I managed to get a generator service tech to the house (2.5 hours each way on the service call in a storm) and he said I had an ice build-up between the brushes and commutator. How this happened is beyond me. The second time, two years later, the SCR burned out. I got one overnighted and installed it standing in 10" of fresh snow. Other than that there have been no service calls. I've changed the plugs once, the oil annually, the radiator coolant once. I also replaced the controller. It was still working, but showing odd symptoms that suggested the prudent approach was a replacement. That's in 15 years and 3500 hours on the clock.