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It’s not the shot, it’s the stock.
First off the spread on a shotgun is not like a video game where your entire view is covered in lead. It’s still relatively grouped.
Second, the trench gun had a stock. The stock is important. It allows you to properly and quickly aim at what you’re trying to shoot. The WW1 'Trench Gunn had a stock.
If your goal is to take down home invaders, you want a stock on your shotgun.
If you just want to put lead in your walls and furniture, go with a folding stock one.
That being said, a gun is the least useful device you can acquire to help you during a home invasion. A firearm in your home is statistically more likely to cause accidental harm to you or your family than it is going to help you fight off hole invaders.
https://pubmed.ncbi.nlm.nih.gov/7769769/
You’d be better off investing in proper home security measures.
I’m pretty sure most humans understand what purring and growling means