I uses a Lister SR2 with a 10KW head to charge my batteries. I'm totally off grid...have been for the last 5 years. My inverter is a Magnum 4844 with built in charger/controller. With my set up you can dial back how much power goes into the batteries or inverter/charger from the genset. My 10KW head is good for something like 40 amps @ 220 volts ( something around that) , way too much for my battery bank, so I go into my setting and dial back the amount of power going into the batteries. I think I have it set at about 70% , a little high, but has keep the plate clean in the batteries for 5 years, and that good for me.
I don't know much about the Outback system, when we bought our system, we looked at the Outback...and decided on the Magnum inverter.We haven't had a problem with it.
Before we had the Lister, we charged with a 10KW gas gen, and we still had to dial back to match the battery bank.
If you do have the ability to adjust you amp input, I would start low and work your way up , until your genset starts to fail....and knock it down a little from there.
How clean the power is, coming from the gen , hasn't had any effect on anything. The inverter is a pure sine wave inverter, and clean everything up on the inverter side. ST gen heads are not known for there clean power, just like a cheap , made in China genset.
Hope this helps.
Cheers
Brian