That's exactly right, Off. The Mountaineers climbing program generally emphasizes trad climbing on alpine routes. The Basic class teaches people the skills they need to safely follow on very easy alpine rock climbs, and participate on easy glacier climbs. The intermediate program teaches people to lead on multi-pitch, trad routes, augment glacier travel skills, and move on to alpine ice and winter/mixed climbing.
The sports climbing class is generally offered as a bridge for people who learned enough as basic students to say follow on the Tooth or Ingalls and then want to move on to leading, but would like more time on real rock, or get some comfort leading without investing in a rack or learning to place pro off the bat. Many choose to skip sport climbing and just go straight into trad leading. Some basic class graduates leave the Mounties and learn to lead on trad all on their own, never going into the intermediate program. Others leave and become sport climbers all on their own.
The sports climbing class does not teach people to drill bolts and set up routes. Nor do its instructors generally do that.
Structured courses by a big club/organization are not for everyone. They are a route for some to learn.