Paul,
I can't speak for other courses but we do NOT have them at my club where I am the super (CGC in Charlotte, NC). When we were reopening after our restoration the club chose a very minimal amount of accessories and containers for divot sand on tee boxes was not selected (we do not have ball washers either). As for our teeing grounds we do not have any problems keeping on top of our divot situation. This is on all tees, not just par 3's. It just depends on what the members want to see and staying committed.
Also, since we have bermudagrass tees and fairways we use a colored sand during the growing season then switch to a white sand during the time the turf is dormant.