Those do look like genuine Honda GXV160 engines. All GXV160 types from type GXV160UH2 onward seem to be made only in China anyway, and I expect that after a bit of practice, Honda can make quality engines anywhere it needs to.
I can't tell much about those bases. That style of single height-lever base usually wears out fairly quickly in commercial service. This is mainly because of a combination of two design weaknesses. First, there is a severe forward load on the left front axle caused by the longitudinal height adjustment bar. Second, there is a constant up and down movement of the axle against the aluminium base caused by flexing of the spring-clip supports used to attach the front axle to the base. Hence the genuine Honda base of that design is no great shakes in terms of durability, but I can't tell without seeing one whether the Chonda version is better or worse.