I wasn’t challenging you specifically but the notion in general.
Edited to add:
Most people think of how far AM broadcasts carry compared to how far FM broadcasts carry, but the major difference between AM and FM broadcasts is frequency. AM broadcasts are Medium Wave, 650 kHz to 1640 kHz. At those frequencies the radio waves are much more likely to skip off the atmosphere. FM broadcasts are VHF and much less susceptible to skip. Also, AM is much narrower in bandwidth which makes it easier to be detected at farther distances.
The difference in distance is not a function of modulation type. So, because they are using the same frequencies, AM CB and FM CB should not be greatly different in range.