'On' x 'with' work experience: Pode trocar uma pela outra?

Thousands of staff are facing the prospect of losing their jobs and wards are closing. Now the hospital is making moves to deliver healthcare on the cheap, by using people on work experience to help with patient care. Patients and staff will rightly be very worried about the standard of patient care as this scheme is rolled out. The Guardian

Podemos substituir a preposição "on" por "with" nesse exemplo?