There’s your answer. The Chinese were building musical instruments over a thousand years before anyone in the world even knew North America existed, except for the prior owners. There is no made in USA monopoly on quality. The Chinese can build a quality bass as well as anyone, and your money goes further. The weak link in the transaction is the risk associated with the integrity of the seller. Do your homework, and remember, no refundable....there is no reason why Chinese builders can't build a proper instrument if required.
I might consider getting an unbranded one but only for modding purposes because the resale is easier. I can’t legally sell my modded Fender Pbass because I changed all the hardware and electronics, and routed the body for an additional pickup so now it’s subject to trademark infringement because it’s not really a Fender Pbass anymore. I know it says Fender on the headstock and kinda looks like a Fender, but it doesn’t sound or play like one anymore so it’s really just a fake.
I might be able to list it for sale as “Black bass with some Fender parts,” but I don’t think I can say “Wow!!! 1978 Pbass. Look!!!”, because that would be wrong.