The common feature of a pillar drilling machine and a column drilling machine is that they are standing drilling machines. It follows that you install these machines in one place in your workshop and cannot move them around when the need arises.
The difference is that with a pillar drill you can move both the drill table and the drill spindle so that you can adapt the pillar drill to the material. With a pillar drill you can only adjust the drill spindle.
The drill table of a pillar drill cannot be moved, but it can be tilted in different directions. The drilling table of a pillar drill can be moved.