I have both an EU2000 and EU1000. The EU2000 I bought for my last RV which didn't have an on board unit. The EU1000 (I got it from my dad for a bottle of scotch...they quit dry camping) is the one that goes dry camping with me for battery charging only. It is much quieter than the on board unit. We RV all year round so supplemental charging will always be a need even with solar.
Both generators are used for power outages which frequently happen in the fall storm season here. I also have used them for utility power when there is none nearby (tools).
If I had to choose between Honda and solar, it would be Honda....although both is even better.