There's nothing particularly special about how the CL650 reads the Throttle 1 & 2 axis values, as long as they're assigned in X-Plane. But this assumes the throttles aren't being held down by the red locks, or some other binding.
Most other developers just use the default system and call it a day. Hot Start will do it 100% custom to match the real world equipment.
Not sure what you "fell for" considering no where does it say the add-on includes a weather radar. ¯\_(ツ)_/¯
I don't think the devs claim any compatibility (or incompatibility) with either solution. And I doubt they'll be installing them (especially as it's dubiously-supported payware). Can you provide more technical details? Such as captures from DataRefEditor? No-one else has reported these problems in 4 years since release. Thanks.