We still lack a unifying name, but initiatives like "Right Care," "Choosing Wisely," "Preventing Overdiagnosis," "Prudent Healthcare," and others all seek to describe, categorize, confront, or improve upon the status quo of what's being done: too much medical stuff and too little caring for people.
You may have read lately about Quaternary Prevention (Prévention quaternaire) or P4, a major initiative of this movement. This – in the words of Ray Moynihan – "awkwardly titled" idea came originally from Dr Marc Jamoulle (@jamoulle), a Belgian GP, almost 30 years ago.
He coined the term "Quaternary Prevention" to describe 'an action taken to identify a patient or a population at risk of overmedicalisation, to protect them from invasive medical interventions and provide for them care procedures which are ethically acceptable.' Essentially, it is a process that explicitly considers and thus enables avoidance of iatrogenic harm.
"Quaternary prevention should take precedence over any alternative preventive, diagnostic and therapeutic, as dictated by the principle of primum non nocere." (Wikipedia)
*NB*: Be careful not to confuse Jamoulle's term P4 with the more popular P4; predictive, preventive, personalized, and participatory (P4) medicine, with a focus on detecting and dealing with disease before it even exists, may (arguably) be the antithesis to Quaternary Prevention.
Jamoulle's idea came first, anyway. His original 1986 article Information and computerization in general practice (en français) started the discussion around quaternary prevention, with a particular focus on how information technology can dehumanize healthcare. He has refined the idea, with presentations at WONCA world conferences and many publications (listed here).
View Dr Jamoulle's page on Quaternary Prevention "P4" or read more
Although the cumbersome title will probably dissuade related initiatives from taking the name and falling under the umbrella of 'quaternary prevention,' we are all united in the spirit of our efforts. I remain in awe that Jamoulle and others had the wisdom to begin the discussion of harms of overdiagnosis in a time while mammography was just gaining momentum, ADD was rarely diagnosed and yet to be redefined as ADHD, and I was still in diapers.