As I understand it, the Trik-L-Start amounts to a current limited (to 5A) voltage controlled diode. If the house electrical system is at a higher voltage than the chassis, and the house system voltage above 13.x volts, it turns on and allows up to around 5A to flow, though it could be less current if that's all the chassis battery will accept at whatever voltage is applied (the house voltage minus any wiring losses and whatever drop there is in the Trik-L-Start circuitry).
It does not implement a multi-stage charging regimen independent of the house battery. At a 5A limit, I'm not sure how useful that would be anyhow. If the house converter or charger has a periodic equalizing charge (or something vaguely similar), such as e.g. the PD converters with the charge wizard attempt, that higher voltage would be reflected across the Trik-L-Start, but not independently.
