The discussion clarifies that the speed of electromagnetic (EM) waves varies in different media, contradicting the initial assumption that radio waves travel faster than gamma waves. In dispersive media, the speed of EM waves is frequency-dependent due to the varying index of refraction. While photons always travel at the speed of light in a vacuum, their speed changes in other materials, leading to phenomena like chromatic dispersion, which creates rainbows. The conversation highlights the complexity of the topic, emphasizing that a simple "yes" or "no" answer is insufficient. Ultimately, the speed of EM waves in materials is influenced by their frequency, making the question more nuanced than initially presented.