If a company being purchased by PE meant that they lost the vast majority of their customers as soon as contractually possible, then the possible value extracted by PE would drop off a cliff.
This isn't necessarily the fault of the customers - we're all dealing with a lot of information to process.
And, up until recently, it was reasonable to attach reputation to brand instead of to owners.
And I think that's a lot of what PE exploits - the gap between people's belief about a brand's reliability/reputation, and the fact that the actual reliability has been a function of who the actual owners of the company are for many years - but people are still attached to the old mental model.
(there may also be some value for PE to extract from assets aside from customer relationships and the higher-order "brand value", but I suspect that that's secondary - if I'm wrong please correct me)
How so?