There are legions of counter arguments. Take NHS, I have just had major surgery but in the 5 weeks was treated or attended by, at a guess, 6 doctors and over 30 nurses and assistants with others unseen such as pathology, histology, etc. The whole was seamlessly integrated and I would not have wanted fewer.
The number of clinical staff in different departments need non clinical support with receptionists in each department, ward managers, bed managers, catering, logistics etc etc.
I would rather too many than LEAN or JIT.