The reasons you gave are all platitudes, which are hard to convince.
The Immigration Bureau prohibits you from entering China for two years, which is based on the relevant immigration regulations. You can appeal, and immigration will consider it. Success depends on immigration.
You said that in case of emergency, most prisoners would ask for permission to enter China for the same reason. You can complain, and the Immigration Bureau will consider it carefully according to the seriousness of the matter.
Whether to approve or not depends on the China Immigration Bureau.
Violation of China's immigration laws and regulations is a criminal offence and will only be punished by warning. Anyone who is punished can appeal through normal channels, and there is no so-called shortcut.
China friends are advised not to challenge the law, do as the Romans do, and abide by China's immigration laws and regulations.