This is only a problem if the user structured their code horribly. The library handles HTTP requests, it should be on the edge of the architecture.
Side note: C++ is fantastic in this regard because it makes you suffer every time for excessive coupling. The compile/link times act as a recognizable metric that devs have an interest in minimizing, and the process of doing so produces better code. I love that it is ruthless in punishing poor design.
1. It is an error to couple this library closely enough to the rest of a project's code to cause the condition you note to exist. This kind of library is best used in a small project or as part of the implementation of a user-defined abstraction interface (an abstraction specific to his project's use cases that would not make sense being included in the library code). A small project will compile quickly anyway, and the second kind of project will only need to be compiled if the abstraction's interface changes.
2. C++ compile times aren't that bad. I won't argue that it's not bad in large code bases: it indeed becomes atrocious when the codebase becomes large and spread out over a large number of compilation units (or when coupling is excessive).
> 1. It is an error to couple this library closely enough to the rest of a project's code to cause the condition you note to exist.
Any compilation unit (source file/module) which calls a function in this library will have to be recompiled if any of the called functions change which means that your application will also have to be re-linked. There's just no way of getting around that.