Nightmares - S3-E7
Visible crew/equipment: While Jaime talks to Malcolm on the street and takes his picture it's being filmed from two camera angles. When Malcolm shoves Jaime and he falls to the ground we can see the second camera's tripod leg at the right side of the screen, and as Jaime gets up we can see the second camera as well.
Nightmares - S3-E7
Visible crew/equipment: After Jaime goes after Malcolm, who was released again from the hospital, it cuts to Danny and Kate parked in the car across the street from the church, and when Kate opens her door the reflections of the camera and crew members are visible on the window.
Answer: It's a common cop show plot device. If the police on the show always acted in the most logical way (i.e. not alerting a suspect to their presence) the show wouldn't have the opportunity for an exciting foot chase.