I'm not sure this thread is oriented to the 7.14MHz CPU clock speed of the 68000 or why it was chosen.
That clock speed is exactly twice the color clock of a composite color video signal. A genlock also derives that clock from the external video that you're trying to super over. The video and amiga need to use the same clock otherwise the overlaid video will shift colors with respect to the amiga... or vice versa. The genlock also derives the horizontal and vertical sync pulses from the external video so the pictures don't roll with respect to each other.