The problem is, Dometic no longer makes a direct replacement for the old design Atwood/Dometic Dometic GC6AA-10E or other variations of it. You have to use an adapter kit and do some cutting in the side of the RV and if there is something real tight on top of the old unit, the new one may not fit. I am partial to the aluminum tanks of the Atwood Dometic line but they have shot themselves in the foot on this one. Suburban has introduced direct fit replacements for the old design Atwood/Dometic, so that is the reason for the dealer recommendation.
The letter A in the model number SAW6DE stands for Advantage, which is what Suburban is calling their direct fit replacements for the Atwood/Dometic models.
Advantage Direct Fit Water Heater for RVs & Campers - Suburban
Suburban will not make available manuals for their newer equipment and "require" professional installation. If yours came with a manual, then you will have to follow it. It will have 120v AC "romex" to the OUTSIDE of the water heater thru a knockout in the forward or rear portion of the mounting pan, and I think the 12v DC wiring is basically the same as the Atwood, with a 12v ground, fault, gas, and electric control wires. Suburban has begun using a relay to control the 120v AC heat element now, instead of the old manual switch on the outside (always thought that was rather stupid)
The Dometic you are removing has the 120v AC but it is going to the inboard side of the water heater. Hopefully it is long enough to reroute to the outboard side, if not, and the electrical panel is very close, I would simply re-run a new piece of 14 gauge Romex from the panel to the connections at the relay on the water heater. If it is not feasible to replace the wire, then you will have to splice it, and there are now inline splices for Romex that code allows you to use in a "enclosed " area without having to put the splices in a junction box.
It would help to see the wiring you have now at the water heater, as many RV manufacturers do not follow the color codes of the appliance manufacturers. For example, Dometic uses green for ground, however the RV manufacturers use white almost all the time.
Charles