They usually involve PE taking over firms that were already in financial trouble, which is what made them attractively priced to PE in the first place. The PE firm would also prefer to have a nice profitable business, but if they can't turn it around, they have options like asset stripping or selling the name to a different company.
Here TFA mentions "flagging sales" already in 2014.
The most likely alternative to PE "killing" Red Lobster or Sears or Toys R Us wasn't that the businesses restructured with the same management and business model but 25% fewer stores. It was that they went out of business altogether.
I'm worried by PE buying up successful natural mom-and-pop businesses like dentists and vets and worsening the consumer experience at those. Not so worried about them managing the decline of massive national brands slightly more aggressively than another billionaire owner might.