When I see the recommendation to not use them for engine starting, I feel that may be a bit of not quite telling us what they have in mind. Engine starting is one I jump to thinking of starting the RV engine and that is a much bigger heavier load than the small generator engine.
So I go to a bit more thought and that is where I might recommend not using the lithium alone if the generator takes some time to get it started.
If it's cold and draggy or not been started in a while, that might be a good time to kick in the boost option and make sure by using both chassis and coach batteries! Good power is always better than trying too long with less than full power. That possible low voltage tends to make higher than normal current and given enough times and long enough, that high current can degrade the insulation on starter motors! Burnout!
So if we look at why we don't want the normal operation of the mode solenoid or BIM connecting the alternator to the lithium, that can be a problem as the lithium can draw so much current so quickly that we may tend to overheat the engine alternator as we drive!
That means each design has to have some thought to how you want to build your system to avoid overworking the alternator but also leave some option for tying them together when you want a boost start or in this case where you may want to use both chassis and coach to start the generator.
I'm not at all sure where you are on the planning, etc. but in the name of "never too much info" I might throw in some things about this battery area and it does seem to show the generator starts off the coach side. Ignore this if not needed!
As you go along, this area of the RV tends to be a bit more trouble than other points of the electrical as it does so much stuff and gets such heavy use.
There is a "mode solenoid" which has chassis battery on one big lug and coach battery on the other side. There are two small wires that operate this solenoid to connect both groups together. When we drive to charge the coach batteries off the engine alternator OR when we push a dash switch for jump starting a weak chassis battery!
So these contacts get a lot of abuse as they open/close often!
That is also one of the things to consider when changing to lithium as you don't want the alternator overworked as you drive if it is connected to lithium for too long!
Click this snip for best view or go direct to drawing here:
https://www.winnebago.com/Files/Files/Winnebago/Resources/Diagram/2018/000038813.pdf

Left side is chassis battery fed from starter (stator?) and that makes sense as the other side has connections to wires J and KKF which feed the coach fuse panels!
We can decode those ID from this list:
https://www.winnebago.com/Files/Files/Winnebago/Resources/Diagram/electrical_guide.pdf
The small wires are labeled near the ends!

Coach power from batteries comes in near lower left side, meets the chassis power through mode solenoid contacts and then also extends up to the coach battery disconnect relay. The small wires LR (bat) and FM (ground) work to operate/close the solenoid!
If that disconnect relay is closed, power goes out and down to the generator for starting!
Busy little spot and lots going on to be aware of for planning?
Good luck on the chase!
