With Feng Ao Si's personality, it was not weird for Nan Si Qiao to ask for Dai to send her letters about her son from time to time. As a mother, it was impossible for Nan Si Qiao not to be worried about her children.
Feng Ao Kuai also knew that his manservant, Si Kang, sent letters to his mother from time to time. He just turned blind eyes to what they were doing because he also didn't want his mother to worry.
Since having letters from their manservant would assure her, he will let her do that.
Towards parents who cared for them, it was really hard to berate them and acted stern. After all, they knew very much that the other party was trying to do this for their own good and also because they cared so much.
Feng Ao Kuai was more willing to turn blind eyes and acquiesced to what his mother wanted to do if that made her happy.