....an escort was caught in an undercover sting by LAPD. They booked a nice hotel room and requested an outcall from her and slapped the cuffs on her.

Nothing like this ever happens in real life..  Ironically, very strange things do happen in real life - hence the adage life is stranger than fiction, but these strange things are better left to life...  

You're referring to outcall stings where the "host" is LE. I cant ever remember an outcall sting when an actual client was the host. I guess they have happened, but there typically isn't enough upside for LE. They catch one guy? How can that be worth the time and effort?

Only way its worth the time and money is that if the client / host is a high profile person.  Then, for sure, there is lot to gain.

LE is going to send a female cop into a hotel room by herself? I guess it’s theoretically possible but I don’t know of any cases like this.  
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And if the guy is as you say “high profile” then wouldn’t he, or someone that works for him, makes sure he researches the hell out of the girl?
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Stings are really only viable when someone lets their guard down. Every single time a provider ever told me she got busted it was always a case of her then saying “I didn’t screen that guy.”
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From what I know, LE puts up a hot pic of a girl and they then bust every guy that shows up. The other way is to book a girl that may not screen properly and bust her in the morning and then nail every guy that shows up the rest of the day but both of those cases are incalls.

I just read Carl Hiaasen’s latest book “Fever Beach.” Part of the story is a 25yo escort pretending to be 17 blackmailing a coke addled, dimwit, corrupt Republican politician bc she has the Venmo receipts of his payments as well as pictures/videos of him wearing a dog collar and snow shoes in some comprising positions. His idea. He has to use daddy’s money to bail him out. It does not end well for him. Now THAT I can see definitely being real life.

If the cops send a "hooker" in the client's room "all by herself" I am sure they be watching her from the next room.  

This reads differently. The LE booked a room and requested an Outcall. They were busting the escorts (I assume more than one even though that's not stated), not the clients. In this scenario, they can book two rooms and request multiple escorts at different times and bust them one at a time. Not usual, but more feasable than LE playing the woman doing the outcalls.

Whenever anyone gets busted and they can trade up to get their problem removed or reduced the cops will try to make it work to get the "bigger fish".
But as it goes up the line for approval, there's always a chance it will get shot down!

It's in there.  But this has been in a lot of legal and police dramas as well.  Where prostitutes become regulars and get guys to share info they normally wouldn't because of built up trust.  Next to none of it would admissible in court.  And she is literally putting her life in danger.

I was arrested & all charges were dropped over 20 years ago I was busted in a sting operation in SD. My lawyer is the best escort attorney in San Diego. Why would anyone help the police 👮 with a charge as low as a Misdemeanor?

I have been doing this for 31 years and had 2 police officers knock at my door and managed to get out of it

multiple arrests?