So, no and not a lie. Why should any license dictate what happens to code that was not written by the authors of that code? Why should I pay more honor to GPL code than any other? So, no, much like a relative that drinks all the beer when visiting, the GPL cannot be included except in limited circumstances.
So, yes. You are simply talking bullshit because of some irrational GPL hate. If you cannot honour the license of a piece of software then you can't use it. Doesn't matter if it's free software like GCC or some commercial library you paid a shitload of money for. Stop being dishonest and irrational.
I have no hate for the GPL. It is a license for a community that loves it, but saying GPL code can be freely included in other works is a very strange definition of free. It is also poor for teaching as it brings a burden on the future works of students if they directly use the taught code directly. It is a license that should be evaluated like any other, but it imposes burdens on more than the source written under it.