Nearly all care outside hospitals is private, whether in care homes or in someone's own home. If someone is well enough to leave hospital but (e.g.) can't manage alone in their own home, it's a simple calculation for the NHS whether the cost of paying for a care bed outweighs the cost of having nurses performing "care" duties rather than nursing. If the result is that patients aren't being treated in corridors, that also means ambulances aren't tied up waiting somewhere to put their patients.Does that mean the nhs are using private business beds then, do they keep those beds forever, if you are going down that route then why not pay private companies to perform the backlog of operations, get the waiting lists down to a manageable level, get people back to work off the sick, once this is done then hioefully the NHS would be back to a manageable level. Maybe it would cost a bit in the short term but Shirley getting people off the sick etc would be better for the country.
Staff shortages, and paying for some operations in the private sector, is a separate issue.