No he shouldn't. She is basically Donald Trump only without as much success. She is a spoiled brat that demands everyone else recognize her and pay fealty. So I guess now like Donald Trump Jr.
By bending the knee to an invader, a woman, a foreigner, a child, and quite clearly the most idiotic person in the series, he does not gain anything. In fact he would be told to send his armies South to go siege KL because genius military mind of Tyrion thinks so