Nowadays, most shotguns used by LE SWAT are for breaching, especially if they're pistol grip short barrels. It's a secondary weapon, not primary.
Yes, shotguns have less spread than most realize -- BUT standard 00 buck is like a 9 round burst from the .32 acp Skorpion vz61.
And yes, recoil-induced flinching/loss of confidence is detrimental to accuracy/precision through both fear-induced bad habits and a reluctance to practice.
Because of the 1033 program, most LE SWAT have now abandoned their 1980 and 1990 subguns for M4geries.
If you're clearing a room in a manner in which someone inside the room can grab the barrel you're doing it wrong.
Only when you need a free hand is a pistol ideal -- like say grabbing a child's hand to lead them to safety. But even then, you'd be well served with a slinged rifle tightened into your body on your person.
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And remember too. Shooting thru walls isn't as bad and dangerous as folks make it sound online. In fact you'll find scenarios where it's to your benefit to poke holes in walls to reach the threat just behind the corner. And that's where 300 blackout and calibers like those shine a bit. I'd much rather do that.. than have to step around it and confront them head on. Firing thru sheetrock etc is very effective.. granted u have identified the threat properly tho. And the way I'd do it is to take a knee and fire in a semi vertical fashion to direct the fire above neighbors houses as you do. And the added punch of rifle rounds etc will also help ensure you are effective against modern intruders with body armor. Just some things I've seen discussed in talks like these that are not discussed much. But this is also why I have several guns. One for each type of scenario I can possible make an excuse to buy a caliber for basically lol. Not saying anyone is wrong. But all types have thier places I guess is what I'm saying. And I'm not saying blast ya walls up either.
Life isn't a video game, and every round you fire you must be in fear for your life and to ensure no collateral damage need every round to go into your target to minimize chance of you going to prison for killing someone who could be argued was fleeing/retreating and any accidental injuries or death.