It holds and China only has 300 nukes, which isn't even close to the US and Russian numbers, which both have more experience handling them. Bait-y headline.
I once did the exercise of finding a list of US cities ranked by size. By the time I got down to number 300, it was some small, insignificant place that only had a population of about three thousand.
That 'military objectives only" thing was tried in WW2, but found wanting. In bombing against both Germany and Japan, it was found that destroying civilians' homes was far more effective.
Read up on Curtis Le May's methods in Germany, Japan, and then later in North Korea. He was a great proponent of fire-bombing large areas in the centre of cities.
You and I both know the goal of that was to get Hirohito to surrender and that Japan lost most of it strike capability. If strike capability is present, it's a priority.