Brits and Americans have hundreds of different phrases for the same thing. Luckily it's usually a source of amusement rather than frustration. A flashlight by any other name is still a torch. My personal favourite is 'fairy lights ' which we boringly refer to as 'Christmas lights.'
You can't have public health without a public health system. We just don't want to be part of a mindless competition for resources. We want to build back capacity in the system.