Having done lots of homework on small gens (<3kVa) for backup, my opinion is that you should either go with Honda or Yamaha, or go without one. I have seen far too many complaints re. Chinese jobs that pack up, then there are no spares. The Honda EU series of inverter models are reliable and quiet. I have not seen the Yamaha inverter models being readily available in SA. Any open frame generator will be extremely noisy.
The Yamaha EF2000i is also an inverter model, similar to the Honda EU20i. I believe the Yamaha EF1000 (the original one) is an old model?
For camping fridge and charging batts, a 1000 VA model would be fine...or get larger solar panels with a longer cable.