Pretty much.
It’s a good thing most movie monsters are so slow. I’d be lucky to walk quickly for my life. 
And the movies often show us people who keep running while turning around to see where the killer is. If you’re running fast while turning or not looking where you are going, you’re that much more likely to trip or crash into something. But all other things being equal I think you would have so much adrenaline coursing through your system that you would be able to keep going at least for a while after spraining something or banging your knees pretty hard. Much stranger things have happened. I guess we are supposed to believe they don’t get up because they’re panicking.
Last week there was a similar situation on Boardwalk Empire, although it didn’t have the run-for-your-life component. That might’ve made it even more ridiculous.
Bobby Cannavale’s gangster character is at a gas station and gets annoyed with a police officer. He sprays some gasoline on the cop, who falls over for no particular reason. He then keeps dumping gas on the cop, who continues to writhe and gurgle and roll around on the ground and makes little visible effort to get up. Then he stops, lights a cigarette, and (of course) throws it on the cop, who burns to death.
Seconded! And not just in heels but through grass in heels! All I can think when I see scenes like this is that the director, producer, and writer must all be men. I discovered early on (like in my teens) that walking through a grassy yard in heels is next to impossible. If you put any kind of weight on the hell, it starts sinking into the ground and requires extra effort to pull it up. Meanwhile, that extra effort is causing your other heel to sink in!
I’ve never really been running for my life, but I do run just about daily. I’ve never fallen when just running. I’ve fallen while playing sports (soccer, ultimate, football) but that’s virtually always due to some sort of contact with another player. I usually pop up pretty fast, probably less than a second unless I think I’m actually injured. Just about all of my sports playing these days are pick-up games without officials, so doing the classic dramatic soccer fall doesn’t really work.
I agree that that trope is very played out, along with the whole “car won’t start when you need it to” thing.
The problem is that horror movie monsters tend to shamble. It makes them more dramatic or frightening or something. However, there’s just no fast way to shamble, and so movie makers have to contrive some way for the monsters to catch their victims anyway. Sometime it’s I’ve-fallen-and-can’t-get-up, but other times it’s the car that won’t start, the victim who stupidly runs into a dead end, or the monster that explodes through a wall by blind luck as the victim passes by.
In one MST3K movie, the monster shambled so completely dramatically that is was almost immobile. Its victims were therefore obliged to climb down its throat.
This makes me think of one of my favorite bits from Buffy. She’s running and being chased by a skeery monster type and she falls. The monster pounces and she jumps up and kicks its butt. (Or whatever they have.)
Buffy’s Line: “You guys always fall for that run and stumble bit, don’t you?”
I do agree that running in heels in a movie is where my brain checks out. I can suspend my disbelief a lot, but not that far.