I think the only reason why China still does not a strategic bomber is that China or any other country in the world does not have the technology to build a bomber which can travel back and forth between US mainland and China without air-fueling.
Why does China need strategic bomber without air-fueling but US doesn't? Because China has no safe zones for air-fueling between US mainland and China, but US has so many. So before any new ground breaking technology which will enable planes to have a range of 20,000+ km emerges, China will not build any strategic bomber.
Plus, I don't see the advantage of bomber + ICBM over ICBM itself or submarine + ICBM.
Why does China need strategic bomber without air-fueling but US doesn't? Because China has no safe zones for air-fueling between US mainland and China, but US has so many. So before any new ground breaking technology which will enable planes to have a range of 20,000+ km emerges, China will not build any strategic bomber.
Plus, I don't see the advantage of bomber + ICBM over ICBM itself or submarine + ICBM.