Is this actually a problem? I'm willing to bet that the vast majority of people who use the internet have a good enough idea of what a server is that even if they're dead wrong about how one works it isn't terminology that would be confusing to them.
The internet (or cloud, if you prefer, mostly the same thing) is just a bunch of computers connected to each other. "Servers" are the big ones in the middle that handle stuff like email and youtube videos
