Full well capacity is the number of photoelectrons a pixel can hold before it stops counting. Typical scientific sensors sit between about 7,000 and 30,000 electrons.
Past that point the pixel does not report a larger number; it reports the same number. A saturated pixel has lost the distinction between bright and very bright, and the value it gives you no longer means 'this much light' but 'at least this much'. That is a different kind of datum, and treating it as a measurement is how a quantitative result becomes quietly wrong — the mean intensity of a region containing saturated pixels is biased downward by an amount nothing in the image reveals.
Saturation is also irreversible in the strict sense. Unlike undersampling, which loses detail, this loses the top of the scale, and no processing recovers the count that was never made.