Might be because the climate does not operate like a greenhouse. A greenhouse works by physically preventing convection from carrying away warm air. Greenhouse gases work by absorbing and reemmitting radiation that would otherwise escape into space. Both result in warming but completely different mechanisms.
Unfortunately we are stuck with this misleading terminology in what is an already complex and politically charged area.
Maybe you're skeptical that they're man-made. If so, why not put the quotes around "man-made" instead of "greenhouse gases"?