Everything needs to be mutually beneficial. South Korea's not a cheap place; giving concessions that at China's cost equates to sending hostages to the other side so they can hold them over your head and ask for more to maintain "good relations."
I don't think so. Give whom what? This doesn't make sense.
As you know S and N Korea are still officially in a ceasefire. The next step which president Moon wanted to achieve, and spent a lot of political capital, is to have a formal peace treaty so that officially N and S Korea will have stopped the war.
Now formally the war has stopped a long time ago, but if a peace treaty could be made then that would be momentous step on what the Koreans want, unification.
Actually when Moon was elected he wished for a peace treaty but the Trump (in my opinion) administration wasn't acting in a good faith and the negotiations broke down. Now Moon tried to be in China's good grace but it didn't achieve much on this front, imo mainly because of US sabotage on N.Korea peace treaty and China's reluctance to use its influence.
Moon has faced tremendous pressure domestically because of sticking close to China but he still remains committed on this relationship. However as long as results are not produced, dont be surprised if he is eventually forced to change stance.
Thats why I am saying that its time for China to start delivering for S.Korea (obviously China will buy its neutrality or even friendship). China talks a lot but it doesn't deliver on the N.Korea issue. The rest of the world knows that China holds influence on N.Korea which whilst not unlimited it is still powerful
TLDR: In the period of extreme competition with the US, China should start producing results where it can if it wants to demonstrate that it is a true friend/ or a trustworthy long-term partner