I think China erred by sending such a large balloon that was visible to the naked eye, causing the American public to demand it be shot down. There's no hard rule about where national airspace ends and space begins.. a lot of times they fly too high for planes to reach, and under certain circumstances balloons are allowed through national airspace.. so if the balloon isn't causing a problem (like being a hazard to ai…
One plausible (though entirely speculative) explanation could be they wanted the US to react this way. Now we will waste our military resources responding to these balloons and they in turn will learn about our military readiness. They could be intentionally probing and start sending smaller and smaller balloons to figure out where our detection limit is. They could want to understand how information flows and decisions are made by our government and have already tapped into other intelligence signals that this pen test is helping them monitor.
Again all speculation. But my fundamental point is you don't know their intention to know if they erred.