Yes...starting batteries are high amp discharge for short periods of time...and don't last long when forced into repeated deep cycle service due to their many THIN plates. These are what you find in an engine compartment or "chassis" battery capable of starting your engine in cold weather.
Deep cycles are designed to provide many hundreds of cycles down to 50% and support steady amp draws for many hours. Thick plates.
THEY need to be charged with a 3 stage charge (approx 14.5V, 13.8V and 13.2V and equalized 15.2V occasionally as well.
Starting batteries are happy with a 3 stage charge OR a fixed voltage charge like the 14.2 supplied from the alternator.
Dual purpose batteries are a lousy compromise between the two and are suitible for single battery applications.
A generator should be able to start quite easily from a deep cycle battery which could then be used for traditional deep cycle purposes to give longer boondocking capability.
If you have a couple of house batteries and a start battery...simply charge the house batteries and then add an echo charge or trickle charge unit to keep the chassis battery topped up when you are not running your engine.
3 wire hookup.