Transport shouldn't really be worse: once you put anything on a container ship, it doesn't really matter much how long the ride is. But imports could be more annoying in other ways.
We do have a lot more people speaking Chinese here (around 3/4 of the population are ethnically Chinese after all) and lots of personal contacts, so we get a lot of people running small import businesses getting in Chinese stuff.
Of course, there's still plenty of low quality stuff you can buy. But I see that as a benefit: it's good to have the choice available, if you want to take it.