Should. There are many reasons:
1. The factors of the times. It was an era of great respect for the monarch. If Zhuge Liang did not support Adou, then he would be called a national thief.
2. Personal factors. Zhuge Liang believed in Confucianism and was not allowed to replace Adou, nor could he forget Liu Bei's instructions and leave.
3. External factors. If Zhuge Liang does not support Adou, then Sun Quan and Cao Cao will have a reason to attack him. Wait