The process of "drawing" is pulling a (formerly) solid form over a mandrel of some sort to get a hollow shape - and it is done on materials that are too hard/stiff to work with extrusion (aluminum can be extruded, since it is relatively soft. Steel is drawn - which actually results in less stress on the die and mandrel.)
If the "drawing" process is done with a proper die and mandrel, you will end up with a seamless shape - the "fingers" retaining the mandrel are placed several inches back to allow the material to close within the die after passing. There is still a seam, of sorts, but it's not a welded seam - which means there is no change in hardness/strength, and there is no stress riser due to the HAZ. Therefore, DOM can be considered "seamless" for all but the most critical applications.
If it's rolled/welded, it's rolled/welded. If the tube is drawn over a mandrel then welded, it's still welded tubing. It is possible to force a mandrel through a welded tube to gain a clean ID, but you will still have the HAZ and the attendant stress risers - unless the entire section is then re-heat-treated.