The propagation velocity of EM radiation is c in a vacuum or air, and is slower in channels where the EM is immersed in a media that has an epsilon and/or mu that is different from the vacuum values of epsilon0 and mu0. Vor example, twisted pair that you might use for Ethernet comm may have a prop velocity of 70% of c or so. Typical multi-mode optical fiber is also in the 70% of c range.
For your question, you have to think about the *modulation* technique being used for the information transfer, and how that compares to the carrier frequency. In my example of morse code with a flashlight, the carrier is light in the air, so that's in the THz or wherever. The morse information is being amplitude modulated (light on or off, 100% modulation depth) at human speed, so say 5Hz. The carrier frequency will support much higher datarates, so if you make an electronic AM modulator device for the light, you could get up into the MHz or GHz for information transfer, but not up to the THz carrier frequency.
Going the other way, you would have a problem if the modulation frequency of one channel was faster than the modulation frequency of a channel that followed it. For example, you can't use human speed Morse Code to transfer all the information that you get from an optical channel that is running AM in the MHz. You can always go to a faster and faster modulation scheme and not lose info, but not the other way around. So for your original question, the important thing is how fast the modulation frequency (and hence the information data rate) is for each channel (twisted pair versus fiber), not what the propagation velocity and carrier frequencies are. Make sense?