The correct answer to this open question is the following.
Although there are no options attached we can say the following.
This mechanism describes the necessity of males to lead and form their own pride to show their dominance and power. That is why young lions leave and wander, and when they are ready, they fight for their right to lead their own pride.
So yes, Females tend to stay in their pride, but males may leave to join another pride. And that is the male instinct for lions in the wildlife.
On the other hand, males tend to stay in the same pride, taking care of their cubs, raising them, and hunting. That is what they do best, hunt animals to feed the pride and the cubs.