The difference is incentive structure. Running a business successfully is hard, and getting one to profitability is difficult. The easiest way to make money on a purchased business is to cut costs while people perceive it positively, ride that wave until the business isn't perceived positively, then sell the remaining assets. This method, given that it happens frequently, seems to be the easiest and most reliable way to turn a profit from a business over a period of 3-7 years, with no regard for the survival of that business moving forward.
Given that PE is generally looking for profits over the 3-7 year time period, this would line up with their goals.
Other businesses could absolutely have the same incentives. We see similar acquisitions from Google, Facebook, etc. where products are absorbed into the parent company or otherwise shut down. However, there's a larger chance that the purchasing business has incentives that align with the company being purchased. An established and trusted brand is incredibly valuable; many parent companies would be content to let that business thrive as a semi-autonomous business unit.
Would you argue that PE is less or more likely to employ the strategy I've outlined in my original comment? My prior would be that PE is more likely to use that strategy than other businesses.
As always, I'm open to my views being changed on that. Clearly not all PE deals involve stripping a company down, and plenty of other businesses would be happy to strip a company down. As someone with more experience with PE, I'd be interested in your views and why you have different priors than me.