the disc has come to a stop or is picked up by an offensive player.
This refers to a rolling disc that is picked up by an offensive player, not an offensive player picking up an already stopped disc.
The interpretation for section 13.9 deals with this:
The pivot should be as close to the disc’s location as possible. Players should not place their right foot at the turnover location and then use their left foot as their pivot. This is a travel infraction (18.2.6.1).