Of the three men, Lin Chong and Lu, I think Lin Chong is the best if only on the level of martial arts. If the previous official position, Lin Chong is even worse. Why do you say that? Mainly because of the following two reasons:
The first reason: Lin Chong taught 800,000 imperial troops in Beijing. Although he is not a head coach, he is also a core teacher, and even such people are under his command. Because there are too many people who are officials in Bianjing, Lin Chong's official title seems to be less eye-catching; Maybe he is a small role in Bianjing, but if he is decentralized to the local government, I think he is also a role that makes the county government respectful. This can be seen from the reaction of local officials who came to Cangzhou to plot against Lin Chong after Lu.
The second reason: at any time, officials in Beijing are always much more powerful than local officials. Especially in the Song Dynasty with strong connections, if you want to stay in Kyoto as an official, you must have excellent skills or very strong connections, and Lin Chong belongs to the former. At that time, even Cai Jing's son-in-law could only be a magistrate in Jiangzhou, but he could not be promoted to Beijing because of his father-in-law. He framed Hu to make meritorious service and let himself go back to Beijing to be an official.
Therefore, in view of the above two situations, Lin Chong's coaching position should be the largest of the three; And are only local officials, and there is still a big gap compared with Lin Chong.