Is that an appropriate comparison? If I pay my insurer $X in premiums, and they pay $X for health care, is that 2*$X GDP , vs if the government collects taxes (

Is that an appropriate comparison? If I pay my insurer $X in premiums, and they pay $X for health care, is that 2*$X GDP , vs if the government collects taxes (not GDP) and then pays $X for my healthcare?