I don't know anything about oiled floors, but you have to be careful about the soap you use. It is inadvisable to use soap that is not certified for robots, because you can break the pump due to corrosion. As far as I know, this applies to all robot cleaners. I would advise you to look on the Dreame website or other brands to see if you can find a robot soap suitable for the specific parquet.
I would not recommend this, so only water - soap also has a different viscosity. Otherwise, I can only recommend the appliance - the price/performance ratio is right. If I were to buy a successor at some point, I would choose an appliance with a waste water/fresh water supply, but that is pure luxury.