It is not so much that it is American or Chinese. Steel is steel, and it all has essentially the same stiffness, regardless of grade or hardness. If you want stiffer boring bars, you need to go bigger or go to carbide, which has a higher elastic modulus. Bigger is lots cheaper than carbide, and the hole in your pic shows room for a much bigger boring bar. Obviously, that is just the cutting tool I am speaking of. If there is flexibility or play in the machine or the boring head or the setup, it will cause much the same problems.