> I thought a majority of Chinese businesses are state owned.
Where'd you get that? The state has a significant (though usually less than controlling) ownership stake in about 1.5% of Chinese businesses, and at least _some_ ownership in about 2%.
"The state owns some of this" is, of course, not equivalent to "the state meaningfully controls this".
But in any case for this sort of activity you'd probably just establish new companies, which the state wouldn't have any share in anyway. And, also, this is kinda academic, because you wouldn't be doing it in China, you'd be doing it in some third country and transhipping goods originating in China.