I believe they still use monkey boards even though most larger rigs now are top drives. The pipe has to be stacked somewhere. Some of the newer rigs are called Super Singles that don’t break the pipe off in stands but in individual joints that are stacked in a box on the catwalk.
The first offshore rig I work summers on in college was the Glomar II. The stands in the derrick would have made it far too top heavy. They laid down every stand with a little tugger buggie that took the tool joint and pulled the stand out to the end of an auto pipe rack. It was run by the derrickman from a panel just behind the driller.