The thing I love, it happens a lot in American police dramas, is when the police are approaching a subject and from a distance they announce themselves giving the suspect a head start when he runs off. It always makes me smile as I don't think I ever worked with an officer who would make his own life difficult like that.
Same here @ancientgran "Stop! Police!" from 200 yards away, when if they just continued pretending to be two blokes chatting as they walked past that could just grab the "perp" (God - I HATE that term) when they get up to him - but then we'd miss those exciting chases, pushing octogenarians under yellow cabs as they ploughed down the mean streets, through the abattoir flinging chicken guts all over so the officers were skidding wildly, on through the mother and baby unit of the local hospital, down into the subway etc where they were either lost in the crowd (despite having to be so out of breath they could hardly stand upright) or caught by a wily wisecracking older cop who had anticipated where they were going to eventually end up and was waiting for them with open handcuffs and their Miranda rights. All the time firing wildly at each other but not hitting anyone. So believable.
There's a degree of this in a couple of British police programmes, too - I can't watch "A Touch of Frost". I really can't stand him - he'd be hell to work alongside for a start, as he's just a rsehle, but seeing this overweight desk jockey, close to retirement age, chasing after some fit young villain, running through housing estates, jumping off balconies, charging up flights of stairs - and then gaining ground and catching up with this kid (who in real life would run rings around the old git) before wrestling him to the ground, overpowering him and 'cuffing him, while being barely out of breath . . . Really? I know it's fiction, but do I honestly look that stupid?
I'm prepared to stretch belief, but there are limits. (Does your DH have any particularly loathed programmes - or is it just a sea of horror to him?)
*There is no need to answer that question, actually, thank you very much 😅