How can you possibly arrive at this conclusion? There’s no evidence for this whatsoever.
The US asking for China’s help is also a way of getting China to reveal what kind of arsenal it has at its disposal. China staying out if it makes perfect sense.
This conflict would stop if the US stopped supplying Israel, and condemned them and imposed sanctions on them. Following an Israeli ceasefire, the houthis would have no reason to continue their attacks and the problem would be resolved.