I don't care about cops being realistic. Despite GTA being a game based on realism, gameplay > realistic. The devs know this, they made a good balance of realism and fun gameplay. Look at how cops act on Mount Chiliad... ****ing hilariously unrealistic. Devs probably saw how they acted and left them, because it's fun.
Just sometimes, it can be a bit too sensitive to the point it takes some of the fun away. It's nitpicky, it's not ruining the game for me.