Can't "vaoresan" also mean "prefer" in english?
That's right. But I think the genetive is required for the translation "prefer". With the accusative, it means "like".
Also, "I like my work, like my dad."
Why isn't it "ñuhe bote"?
The word is "boto". O-ending words has the same form in nominative and accusative. Since it's a lunar noun, ñuha is correct.