It's also why CCDs tended to have problem horizontal or vertical halos around bright lights. Nowadays, most cameras use CMOS sensors, where the amplification and readout circuitry is integrated directly into each photosensitive cell.
A CCD line obtains a window of samples directly: the cells are charged according to light sensors. Then this window of samples is shifted out in the same way as a bucket brigade delay line.
So the main differences are that the bucket brigade is clocked continuously, running nonstop and that only one of the cells obtains the sample.
The CCD runs only briefly after an image has been exposed and capture has been triggered, in order to shift out the samples, and sampling takes place at every cell.
A bucket brigade can be slowed down or sped up to change the delay. That affects the sampling rate and therefore frequency resolution. That's how we can create a chorus effect for musical instruments. So the clock speed is a direct functional parameter. Slowing down or speeding up the CCD doesn't make a difference to the result, except that there's likely an ideal range of rates, balancing between the time needed to accurately charge one cell to be equal to its neighbor, while being fast enough to avoid leakage.