The data don't bear this out. Insurance companies do represent some level of inefficiency and are easy scapegoats, but saying this only prevents people from better identifying and fixing actual cost centers. Here's a good breakdown of contributions to total national health expenditures by type in 2023: https://www.healthsystemtracker.org/chart-collection/u-s-spe...
You'll notice that hospitals are the largest component. Physicans and clinics are also substantial. Insurance costs fall under "Other health", which includes "spending on durable and non-durable products; residential and personal care; administration; net health insurance; and other state, private, and federal expenditures."
Drug costs, the other frequent alleged cause, are even smaller, representing less than a tenth of expenditures.