If you run a generator most of the time it is best not to take a risk with an extra hose in the cooling sysytem.
You gotta be kidding!!
The number of hoses on the propulsion engine , air cond , water maker, hydronic heat and HW system are no problem?
But one extra hose on a device that is factory built with an over temp shut down is a risk to the vessel?
To stop problems most folks would do far better installing mechanical gauges and an auto shut down system on the propulsion engine(s).
HW from the noisemaker is called CO GENERATION, a great talking point when those greenies get going with their co2 HOAX talk.