I think one of the important reasons is that they were all born at the end of the Warring States period, because they made contributions in troubled times, so they can be discussed more. People associate their achievements with the final situation, so although some generals in the early and middle Warring States period also made great achievements, they failed to catch up with the selection of the four famous generals because they were in the early stage.
In addition, after becoming famous, such as Bai Qi, Wang Jian, Li Mu and Lian Po, they were also highly valued by Qin and Zhao. Fighting in the battlefield all the year round has won immortal prestige. Qin and Zhao were also the two most powerful countries in the middle and late Warring States, and they competed with each other militarily and in all aspects. Their perennial campaign has given them more opportunities to make contributions.
King Qin swept Liuhe, and his ambition was to unify the Central Plains. He never stopped the struggle to annex other vassal States. So in my opinion, Qin has the potential to train military commanders, and military commanders have a high position in Qin. Zhao has always been a battleground for military strategists, and its strategic position is crucial. Zhao's army must not only resist the Xiongnu in the north, but also resist the surrounding four countries, so the monarch of Zhao also attaches great importance to military commanders. To sum up, Qin and Zhao are both well-known generals.