I read how MOSFETs work, although there is this thing I can't understand. To make things simpler let's take only n-channel MOSFETs into account. Normally, the load is connected on the drain side, like this:
When \$V_{GS}\$ is above \$V_{thres}\$ and high enough for the desired current to conduct, the MOSFET is in full saturation, and the effective resistance is low, making the \$V_{DS}\$ very small. This happens even if \$V_{DS}\$ is higher or lower than \$V_{GS}\$.
However, if you connect the load on the source side, like this:
In order for the MOSFET to go into full saturation, it's required that \$V_{GS} > V_{DS} + V_{thres}\$. Why is that? The load is still in the same current path; does it somehow lower the effective voltage at the drain (in the first case) so that \$V_{DS} < V_{GS}\$ before current flows?