I bought a bedside bassinet from Amazon and initially had some of the same concerns as you when I was searching. I went with the unknown brand since even brand name products can have production or safety issues. I chose to move forward with this bassinet because it had features I really wanted (i.e. mesh all around and no protruding plastic/metal on the zip down side) that other bassinets didn’t have. I’ve been happy with my purchase 2 months later.
I think it ultimately comes down to what your concerns would be. If it’s product quality then you could always purchase, set it up, and return it if you don’t like it. If it’s other things like chemicals then I’d look into greenguard products, though that might limit your options.