I know people are going to hate this idea but hear me out.
A stamina meter would make chases more intense, When in a chase the stamina meter will drain and when it gets low the player will return to regular walking speed causing the player to panic and feel hopeless with a 40% chance of getting out of the house like a actual horror game.
Another reason why a stamina meter should be added is to make the AI more of a threat and have the player use stealth instead of just rushing in and out without any consequences.